Journal article
Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 1.4MB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevLett.117.137202
Authors
+ Engineering and Physical Sciences Research Council
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- Grant:
- EP/K032208/1
- EP/N01930X
- Publisher:
- American Physical Society
- Journal:
- Physical Review Letters More from this journal
- Volume:
- 117
- Issue:
- 13
- Article number:
- 137202
- Publication date:
- 2016-09-23
- Acceptance date:
- 2016-08-31
- DOI:
- EISSN:
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1079-7114
- ISSN:
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0031-9007
- Language:
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English
- Keywords:
- Pubs id:
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pubs:641083
- UUID:
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uuid:0ba37b59-0226-48c0-8a16-68567667f839
- Local pid:
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pubs:641083
- Source identifiers:
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641083
- Deposit date:
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2016-11-02
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2016
- Notes:
- Copyright © 2016 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from American Physical Society at: http://dx.doi.org/10.1103/PhysRevLett.117.137202
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