Quantum quenches in two spatial dimensions using chain array matrix product states

Konik, R.

doi:10.1103/PhysRevB.92.161111

Title: Quantum quenches in two spatial dimensions using chain array matrix product states

Journal Article · Thu Oct 15 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.92.161111· OSTI ID:1235878

Konik, R. ^[1]

Brookhaven National Lab. (BNL), Upton, NY (United States)

We describe a method for simulating the real time evolution of extended quantum systems in two dimensions (2D). The method combines the benefits of integrability and matrix product states in one dimension to avoid several issues that hinder other applications of tensor based methods in 2D. In particular, it can be extended to infinitely long cylinders. As an example application we present results for quantum quenches in the 2D quantum [(2+1)-dimensional] Ising model. As a result, in quenches that cross a phase boundary we find that the return probability shows nonanalyticities in time.

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC00112704; AC02-98CH10886

OSTI ID:: 1235878

Alternate ID(s):: OSTI ID: 1223583

Report Number(s):: BNL-111704-2016-JA; PRBMDO; R&D Project: PO015; KC0202030

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 92, Issue 16; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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Stochastic approach to non-equilibrium quantum spin systems De Nicola, S.; Doyon, B.; Bhaseen, M. J. Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 5 https://doi.org/10.1088/1751-8121/aaf9be	journal	January 2019
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Stochastic Approach to Non-Equilibrium Quantum Spin Systems De Nicola, S.; Doyon, B.; Bhaseen, M. J. arXiv https://doi.org/10.48550/arxiv.1805.05350	text	January 2018
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On the size of the space spanned by a nonequilibrium state in a quantum spin lattice system Fagotti, Maurizio arXiv https://doi.org/10.48550/arxiv.1901.10797	text	January 2019

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