Related papers: Dissipative Bethe Ansatz: Exact Solutions of Quantum Many-Body Dynamics Under Loss

Dissipative Bethe Ansatz: Exact Solutions of Quantum Many-Body Dynamics Under Loss

URL: http://arxiv.org/abs/2004.05955v1
Date: Mon, 13 Apr 2020 14:12:01 GMT
Title: Dissipative Bethe Ansatz: Exact Solutions of Quantum Many-Body Dynamics Under Loss
Authors: Berislav Buca, Cameron Booker, Marko Medenjak, Dieter Jaksch
Abstract summary: We use the Bethe Ansatz technique to study dissipative systems experiencing loss. We calculate the Liouvillian spectrum and find different relaxation rates with a novel type of dynamical dissipative phase transition.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We use the Bethe Ansatz technique to study dissipative systems experiencing loss. The method allows us to exactly calculate the Liouvillian spectrum. This opens the possibility of analytically calculating the dynamics of a wide range of experimentally relevant models including cold atoms subjected to one and two body losses, coupled cavity arrays with bosons escaping the cavity, and cavity quantum electrodynamics. As an example of our approach we study the relaxation properties in a boundary driven XXZ spin chain. We exactly calculate the Liouvillian gap and find different relaxation rates with a novel type of dynamical dissipative phase transition. This physically translates into the formation of a stable domain wall in the easy-axis regime despite the presence of loss. Such analytic results have previously been inaccessible for systems of this type.

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