Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise

2016/06/30 by Mariya V. Medvedyeva, Fabian H. L. Essler, Tomaz Prosen · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.stat-mech #cond-mat.str-el #nlin.SI

paper · pdf · doi:10.1103/physrevlett.117.137202

published as Phys. Rev. Lett. 117, 137202 (2016) · 5 pages, 1 figure. Version accepted to Phys. Rev. Lett

arxiv created 2016/09/06 · arxiv updated 2016/09/28

Abstract

We construct an exact map between a tight-binding model on any bipartite lattice in 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 non-equilibrium steady state and the leading decay modes describing the relaxation at late times are related to the eta-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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