Extreme violation of the Leggett-Garg inequality in nonunitary dynamics with complex energies

dc.contributor.authorVarma, Anant V.
dc.contributor.authorMuldoon, Jacob E.
dc.contributor.authorPaul, Sourav
dc.contributor.authorJoglekar, Yogesh N.
dc.contributor.authorDas, Sourin
dc.contributor.departmentPhysics, School of Science
dc.date.accessioned2025-01-10T19:19:49Z
dc.date.available2025-01-10T19:19:49Z
dc.date.issued2023-09
dc.description.abstractWe study the Leggett-Garg inequality (LGI) of a two-level system (TLS) undergoing coherent dynamics described by a non-Hermitian Hamiltonian and Lindblad equation with no quantum jumps. The nonlinear Bloch equation for the TLS density matrix predicts violations of LGI above the TLS Lüders bound of , approaching the extremal case of LGI parameter in the -symmetric region and the -broken region. We show that these findings are reproduced by using postselection to remove instantaneous quantum jumps from a three-level system described by the Lindblad equation with a single spontaneous emission dissipator. We trace the excesses beyond the standard quantum limit of to a nonuniform speed of evolution on the Bloch sphere. Finally, we consider the effects of competing Lindblad dissipators on the postselected non-Hermitian dynamics and the viability of observing exceeding the Lüder bound and approaching its algebraic maximum of three in current experimental setups.
dc.eprint.versionAuthor's manuscript
dc.identifier.citationVarma, A. V., Muldoon, J. E., Paul, S., Joglekar, Y. N., & Das, S. (2023). Extreme violation of the Leggett-Garg inequality in nonunitary dynamics with complex energies. Physical Review A, 108(3), 032202. https://doi.org/10.1103/PhysRevA.108.032202
dc.identifier.urihttps://hdl.handle.net/1805/45247
dc.language.isoen
dc.publisherAPS
dc.relation.isversionof10.1103/PhysRevA.108.032202
dc.relation.journalPhysical Review A
dc.rightsPublisher Policy
dc.sourceArXiv
dc.subjectopen quantum systems & decoherence
dc.subjectquantum foundations
dc.subjectnon-hermitian systems
dc.titleExtreme violation of the Leggett-Garg inequality in nonunitary dynamics with complex energies
dc.typeArticle
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