{"id":"https://openalex.org/W7140424513","doi":"https://doi.org/10.1007/s11128-026-05120-5","title":"High-dimensional dynamics of a quantum battery driven by amplified multi-mode fields with stark shifts","display_name":"High-dimensional dynamics of a quantum battery driven by amplified multi-mode fields with stark shifts","publication_year":2026,"publication_date":"2026-03-26","ids":{"openalex":"https://openalex.org/W7140424513","doi":"https://doi.org/10.1007/s11128-026-05120-5"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-026-05120-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-026-05120-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-026-05120-5.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11128-026-05120-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092844025","display_name":"Ahmed A. Zahia","orcid":"https://orcid.org/0009-0009-6693-5080"},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Ahmed A. Zahia","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt","institution_ids":["https://openalex.org/I207547235"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130660382","display_name":"L. Mashhor","orcid":null},"institutions":[{"id":"https://openalex.org/I66513531","display_name":"Fayoum University","ror":"https://ror.org/023gzwx10","country_code":"EG","type":"education","lineage":["https://openalex.org/I66513531"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"L. Mashhor","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Fayoum university, Fayoum, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Fayoum university, Fayoum, Egypt","institution_ids":["https://openalex.org/I66513531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130672283","display_name":"M. M. A. Ahmed","orcid":null},"institutions":[{"id":"https://openalex.org/I184834183","display_name":"Al-Azhar University","ror":"https://ror.org/05fnp1145","country_code":"EG","type":"education","lineage":["https://openalex.org/I184834183"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"M. M. A. Ahmed","raw_affiliation_strings":["Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt","institution_ids":["https://openalex.org/I184834183"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5130632670","display_name":"A.-S. F. Obada","orcid":null},"institutions":[{"id":"https://openalex.org/I184834183","display_name":"Al-Azhar University","ror":"https://ror.org/05fnp1145","country_code":"EG","type":"education","lineage":["https://openalex.org/I184834183"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"A.-S. F. Obada","raw_affiliation_strings":["Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt","institution_ids":["https://openalex.org/I184834183"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5092844025"],"corresponding_institution_ids":["https://openalex.org/I207547235"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":{"value":2040,"currency":"EUR","value_usd":2690},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.82191893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.302700012922287,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.302700012922287,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.1371999979019165,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.0803999975323677,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6323000192642212},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5110999941825867},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.45980000495910645},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4528000056743622},{"id":"https://openalex.org/keywords/excitation","display_name":"Excitation","score":0.4507000148296356},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.4302000105381012},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.4142000079154968},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.39160001277923584},{"id":"https://openalex.org/keywords/battery","display_name":"Battery (electricity)","score":0.37619999051094055},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.3619000017642975}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7588000297546387},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6323000192642212},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5327000021934509},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5110999941825867},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.45980000495910645},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4528000056743622},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.4507000148296356},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.4302000105381012},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.4142000079154968},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3977999985218048},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.39160001277923584},{"id":"https://openalex.org/C555008776","wikidata":"https://www.wikidata.org/wiki/Q267298","display_name":"Battery (electricity)","level":3,"score":0.37619999051094055},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3619000017642975},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.35600000619888306},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.35510000586509705},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.34610000252723694},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.3384999930858612},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.3303999900817871},{"id":"https://openalex.org/C50126897","wikidata":"https://www.wikidata.org/wiki/Q389407","display_name":"Stark effect","level":3,"score":0.3303000032901764},{"id":"https://openalex.org/C124657808","wikidata":"https://www.wikidata.org/wiki/Q1133068","display_name":"Quantum dot","level":2,"score":0.32850000262260437},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3276999890804291},{"id":"https://openalex.org/C47091857","wikidata":"https://www.wikidata.org/wiki/Q4118612","display_name":"Coherence time","level":3,"score":0.3269999921321869},{"id":"https://openalex.org/C120398109","wikidata":"https://www.wikidata.org/wiki/Q175751","display_name":"Quantum tunnelling","level":2,"score":0.32190001010894775},{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.3091000020503998},{"id":"https://openalex.org/C161166931","wikidata":"https://www.wikidata.org/wiki/Q7269096","display_name":"Quantum simulator","level":4,"score":0.3046000003814697},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.2809000015258789},{"id":"https://openalex.org/C190463098","wikidata":"https://www.wikidata.org/wiki/Q2081419","display_name":"Quantum technology","level":4,"score":0.26899999380111694},{"id":"https://openalex.org/C89143813","wikidata":"https://www.wikidata.org/wiki/Q17105423","display_name":"Quantum sensor","level":5,"score":0.26829999685287476},{"id":"https://openalex.org/C163217030","wikidata":"https://www.wikidata.org/wiki/Q7268964","display_name":"Quantum-confined Stark effect","level":4,"score":0.265500009059906},{"id":"https://openalex.org/C117838684","wikidata":"https://www.wikidata.org/wiki/Q533483","display_name":"Local field potential","level":2,"score":0.2612000107765198},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.250900000333786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-026-05120-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-026-05120-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-026-05120-5.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11128-026-05120-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-026-05120-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-026-05120-5.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8032195568084717,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321655","display_name":"Science and Technology Development Fund","ror":"https://ror.org/044vr6g03"},{"id":"https://openalex.org/F4320322688","display_name":"Benha University","ror":"https://ror.org/03tn5ee41"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7140424513.pdf","grobid_xml":"https://content.openalex.org/works/W7140424513.grobid-xml"},"referenced_works_count":79,"referenced_works":["https://openalex.org/W643606810","https://openalex.org/W1526062388","https://openalex.org/W1642234848","https://openalex.org/W1658381290","https://openalex.org/W1671143355","https://openalex.org/W1975677983","https://openalex.org/W1981074469","https://openalex.org/W1988917493","https://openalex.org/W1991027989","https://openalex.org/W1996677640","https://openalex.org/W2010793178","https://openalex.org/W2055281720","https://openalex.org/W2055655412","https://openalex.org/W2063890426","https://openalex.org/W2068895447","https://openalex.org/W2069655150","https://openalex.org/W2084681545","https://openalex.org/W2085395510","https://openalex.org/W2090172560","https://openalex.org/W2093475321","https://openalex.org/W2118492081","https://openalex.org/W2152983457","https://openalex.org/W2158000927","https://openalex.org/W2178263042","https://openalex.org/W2211778065","https://openalex.org/W2505136320","https://openalex.org/W2518103953","https://openalex.org/W2519383683","https://openalex.org/W2561264561","https://openalex.org/W2566026404","https://openalex.org/W2736664499","https://openalex.org/W2765402978","https://openalex.org/W2774300242","https://openalex.org/W2883969560","https://openalex.org/W2888756827","https://openalex.org/W2889338430","https://openalex.org/W2898086341","https://openalex.org/W2904572026","https://openalex.org/W3001094081","https://openalex.org/W3012966569","https://openalex.org/W3030639746","https://openalex.org/W3036774427","https://openalex.org/W3037443854","https://openalex.org/W3098165131","https://openalex.org/W3115283377","https://openalex.org/W3137515817","https://openalex.org/W3161191222","https://openalex.org/W3163573080","https://openalex.org/W3188417081","https://openalex.org/W3194944747","https://openalex.org/W3204035763","https://openalex.org/W3216041856","https://openalex.org/W4200631054","https://openalex.org/W4205326478","https://openalex.org/W4281492146","https://openalex.org/W4292421561","https://openalex.org/W4293065410","https://openalex.org/W4300863585","https://openalex.org/W4311244844","https://openalex.org/W4317422890","https://openalex.org/W4367676008","https://openalex.org/W4386715367","https://openalex.org/W4388233566","https://openalex.org/W4391787109","https://openalex.org/W4396219137","https://openalex.org/W4400040932","https://openalex.org/W4400448230","https://openalex.org/W4402482723","https://openalex.org/W4403280812","https://openalex.org/W4404628170","https://openalex.org/W4406086335","https://openalex.org/W4406143875","https://openalex.org/W4406249839","https://openalex.org/W4406530940","https://openalex.org/W4407301252","https://openalex.org/W4408111373","https://openalex.org/W4412183552","https://openalex.org/W4412774663","https://openalex.org/W4414887015"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"This":[1],"work":[2],"presents":[3],"a":[4,11,27,36,179],"high-dimensional":[5,174],"quantum":[6,58,113,175,186],"battery":[7,114],"model":[8],"based":[9],"on":[10],"V-type":[12],"multi-level":[13,57],"atom":[14],"interacting":[15],"with":[16,162],"an":[17],"amplified":[18],"multi-mode":[19],"cavity":[20,189],"field":[21,32,87,116],"under":[22],"controllable":[23],"Stark":[24],"shifts.":[25],"Using":[26],"nondimensionalized":[28],"Hamiltonian":[29],"and":[30,51,75,94,103,115,121,140,155,160,170,177,190],"pair-coherent":[31],"states,":[33],"we":[34],"derive":[35],"full":[37],"density-matrix":[38],"description":[39],"that":[40,56],"captures":[41],"the":[42,86,89,95,128,168],"evolution":[43],"of":[44,112,148,153,173],"stored":[45,149],"energy,":[46,150],"ergotropy,":[47],"charging":[48,80,187],"efficiency,":[49,154],"coherence,":[50,74,122],"entropy.":[52],"Our":[53],"findings":[54],"show":[55],"batteries":[59,176],"outperform":[60],"two-level":[61],"systems":[62],"by":[63,85],"leveraging":[64],"expanded":[65],"Hilbert":[66],"spaces":[67],"to":[68],"support":[69],"larger":[70],"energy":[71,119],"storage,":[72],"richer":[73],"multiple":[76],"excitation":[77],"pathways.":[78],"The":[79],"dynamics":[81],"are":[82],"strongly":[83],"influenced":[84],"intensity,":[88],"shift":[90],"between":[91],"paired":[92],"modes,":[93],"Stark-induced":[96],"detunings,":[97],"which":[98],"collectively":[99],"determine":[100],"resonance":[101],"conditions":[102],"interference":[104],"patterns.":[105],"A":[106,135],"fundamental":[107],"trade-off":[108],"emerges:":[109],"increasing":[110],"dimensions":[111],"strength":[117],"enhances":[118],"uptake":[120],"but":[123],"also":[124],"raises":[125],"entropy":[126,161],"in":[127,158,188],"charger":[129],"field,":[130],"thereby":[131],"reducing":[132],"extractable":[133],"work.":[134],"scaling":[136],"analysis":[137],"reveals":[138],"robust":[139],"statistically":[141],"significant":[142],"behavioral":[143],"laws,":[144],"including":[145],"quadratic":[146],"growth":[147],"exponential":[151,156],"decay":[152],"increases":[157],"coherence":[159],"system":[163],"dimension.":[164],"These":[165],"results":[166],"outline":[167],"energetic":[169],"informational":[171],"limits":[172],"establish":[178],"flexible,":[180],"physically":[181],"realistic":[182],"framework":[183],"for":[184],"optimizing":[185],"circuit":[191],"QED":[192],"platforms.":[193]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2026-03-27T00:00:00"}