Quantum quenches in two spatial dimensions using chain array matrix product 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.
- Publication Date:
- Report Number(s):
- BNL-111704-2016-JA
Journal ID: ISSN 1098-0121; PRBMDO; R&D Project: PO015; KC0202030
- Grant/Contract Number:
- SC00112704; AC02-98CH10886
- Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 16; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Research Org:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
- OSTI Identifier:
- 1235878
- Alternate Identifier(s):
- OSTI ID: 1223583
A. J. A. James, and Konik, R.. Quantum quenches in two spatial dimensions using chain array matrix product states. United States: N. p.,
Web. doi:10.1103/PhysRevB.92.161111.
A. J. A. James, & Konik, R.. Quantum quenches in two spatial dimensions using chain array matrix product states. United States. doi:10.1103/PhysRevB.92.161111.
A. J. A. James, and Konik, R.. 2015.
"Quantum quenches in two spatial dimensions using chain array matrix product states". United States.
doi:10.1103/PhysRevB.92.161111. https://www.osti.gov/servlets/purl/1235878.
@article{osti_1235878,
title = {Quantum quenches in two spatial dimensions using chain array matrix product states},
author = {A. J. A. James and Konik, R.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.92.161111},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 16,
volume = 92,
place = {United States},
year = {2015},
month = {10}
}