Real-time evolution of strongly coupled fermions driven by dissipation
Real-time evolution of strongly coupled fermions driven by dissipation
We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a closed set of differential equations, which can be solved with linear algebra methods. The staggered occupation order parameter of the t-V model decreases exponentially during the dissipative time evolution. The structure factor associated with the various Fourier modes shows the slowing down of low-momentum modes, which is due to particle number conservation. The processes with nearest-neighbor-dependent Lindblad operators have a decay rate that is proportional to the coordination number of the spatial lattice.
309-319
Huffman, Emilie
651edff6-13d7-4205-90f6-40342ccdaf6a
Banerjee, Debasish
dcc5d706-d0ed-40b7-94f6-a4ddd7d41646
Chandrasekharan, Shailesh
162eccab-c1a9-4b5c-8142-7a0ab4814cb3
Wiese, Uwe-Jens
8eefe3bf-4b8a-4980-9d15-313982d40fe0
1 September 2016
Huffman, Emilie
651edff6-13d7-4205-90f6-40342ccdaf6a
Banerjee, Debasish
dcc5d706-d0ed-40b7-94f6-a4ddd7d41646
Chandrasekharan, Shailesh
162eccab-c1a9-4b5c-8142-7a0ab4814cb3
Wiese, Uwe-Jens
8eefe3bf-4b8a-4980-9d15-313982d40fe0
Huffman, Emilie, Banerjee, Debasish, Chandrasekharan, Shailesh and Wiese, Uwe-Jens
(2016)
Real-time evolution of strongly coupled fermions driven by dissipation.
Annals of Physics, 372, .
(doi:10.1016/j.aop.2016.05.019).
Abstract
We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a closed set of differential equations, which can be solved with linear algebra methods. The staggered occupation order parameter of the t-V model decreases exponentially during the dissipative time evolution. The structure factor associated with the various Fourier modes shows the slowing down of low-momentum modes, which is due to particle number conservation. The processes with nearest-neighbor-dependent Lindblad operators have a decay rate that is proportional to the coordination number of the spatial lattice.
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Accepted/In Press date: 31 May 2016
e-pub ahead of print date: 6 June 2016
Published date: 1 September 2016
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Local EPrints ID: 500313
URI: http://eprints.soton.ac.uk/id/eprint/500313
PURE UUID: 46a60842-1ad5-4dbe-b60d-073cb4f7c686
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Date deposited: 24 Apr 2025 16:43
Last modified: 25 Apr 2025 02:11
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Contributors
Author:
Emilie Huffman
Author:
Debasish Banerjee
Author:
Shailesh Chandrasekharan
Author:
Uwe-Jens Wiese
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