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Exact Bethe Ansatz Spectrum of a Tight-Binding Chain with Dephasing Noise
Open accessAbstract
We construct an exact map between a tight-binding model on any bipartite lattice in the presence of dephasing noise and a Hubbard model with imaginary interaction strength. In one dimension, the exact many-body Liouvillian spectrum can be obtained by application of the Bethe ansatz method. We find that both the nonequilibrium steady state and the leading decay modes describing the relaxation at late times are related to the η-pairing symmetry of the Hubbard model. We show that there is a remarkable relation between the time evolution of an arbitrary k-point correlation function in the dissipative system and k-particle states of the corresponding Hubbard model.
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Cites
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
Gardiner, C. W. (1991) · Springer Series in Synergetics · doi:10.1007/978-3-662-09642-0 · Cited by 993
Keldysh field theory for driven open quantum systems
Sieberer, L. M., Buchhold, M., & Diehl, S. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/9/096001 · Cited by 568
Perturbative approach to Markovian open quantum systems
Li, A. C. Y., Petruccione, F., & Koch, J. (2014) · Scientific Reports · doi:10.1038/srep04887 · Cited by 110
Cited by
Why does bulk boundary correspondence fail in some non-hermitian topological models
Xiong, Y. (2018) · Journal of Physics Communications · doi:10.1088/2399-6528/aab64a · Cited by 552
Entanglement in a fermion chain under continuous monitoring
Cao, X., Tilloy, A., & De Luca, A. (2019) · SciPost Physics · doi:10.21468/scipostphys.7.2.024 · Cited by 320
Metadata
- Authors
- Medvedyeva, M. V., Essler, F. H. L., & Prosen, T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2016-09-21
- Volume
- 117
- Issue
- 13
- Pages
- 137202-137202
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2460405356
- Cited by
- 164
- References
- 4
- FWCI
- 4.13
- Type
- journal article
- Language
- en
- Open access
- green
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- Medvedyeva, M. V., Essler, F. H. L., & Prosen, T. (2016). Exact Bethe Ansatz Spectrum of a Tight-Binding Chain with Dephasing Noise. Physical Review Letters. https://doi.org/10.1103/physrevlett.117.137202
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