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Dissipation-assisted operator evolution method for capturing hydrodynamic transport

delete2022-02-16
delete59
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OA
AI
T
Tibor Rakovszky *
V
von Keyserlingk, C. W.
F
Frank Pollmann
DOI:10.1103/PhysRevB.105.075131delete
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Abstract

Abstract

En 中文
We introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime. DAOE is based on evolving observables in the Heisenberg picture and applying an artificial dissipation acting on long operators. We represent the observable as a matrix product operator and show that the dissipation leads to a decay of operator entanglement, allowing us to follow the dynamics to long times. We test this scheme by calculating spin and energy diffusion constants in a variety of physical models. By gradually weakening the dissipation, we are able to consistently extrapolate our results to the case of zero dissipation, thus estimating the physical diffusion constant with high precision.
Keywords:
MATRIX RENORMALIZATION-GROUP
GIBBS-STATES
QUANTUM
ALGORITHM

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

U
University of Birmingham
Scholars:
4.1W
Papers: 3.8W
Citations: 5.0W
T
Technical University of Munich
Scholars:
5.2W
Papers: 3.9W
Citations: 6.2W
Cited Papers

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