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Floquet Engineering in Quantum Chains

Kennes, D. M. and de la Torre, A. and Ron, A. and Hsieh, D. and Millis, A. J. (2018) Floquet Engineering in Quantum Chains. Physical Review Letters, 120 (12). Art. No. 127601. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180313-161721314

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Abstract

We consider a one-dimensional interacting spinless fermion model, which displays the well-known Luttinger liquid (LL) to charge density wave (CDW) transition as a function of the ratio between the strength of the interaction U and the hopping J . We subject this system to a spatially uniform drive which is ramped up over a finite time interval and becomes time periodic in the long-time limit. We show that by using a density matrix renormalization group approach formulated for infinite system sizes, we can access the large-time limit even when the drive induces finite heating. When both the initial and long-time states are in the gapless (LL) phase, the final state has power-law correlations for all ramp speeds. However, when the initial and final state are gapped (CDW phase), we find a pseudothermal state with an effective temperature that depends on the ramp rate, both for the Magnus regime in which the drive frequency is very large compared to other scales in the system and in the opposite limit where the drive frequency is less than the gap. Remarkably, quantum defects (instantons) appear when the drive tunes the system through the quantum critical point, in a realization of the Kibble-Zurek mechanism.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.120.127601DOIArticle
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.127601PublisherArticle
http://arxiv.org/abs/1801.06885arXivDiscussion Paper
ORCID:
AuthorORCID
Hsieh, D.0000-0002-0812-955X
Additional Information:© 2018 American Physical Society. Received 21 January 2018; published 23 March 2018. A. J. M. and D. M. K. were supported in part by the Basic Energy Sciences program of the Department of Energy under Grant No. DE-SC 0012375. D. H. acknowledges support by the Army Research office MURI Grant No. W911NF-16-1-0361. A. d. l. T. acknowledges funding from the Swiss National Science Foundation through Project No. P2GEP2_165044. Simulations were performed with computing resources granted by RWTH Aachen University under Project No. rwth0013. D. M. K. also acknowledge the hospitality of the Center for Computational Quantum Physics of the Flatiron Institute.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC 0012375
Army Research Office (ARO)W911NF-16-1-0361
Swiss National Science Foundation (SNSF)P2GEP2 165044
RWTH Aachen UniversityUNSPECIFIED
Issue or Number:12
Record Number:CaltechAUTHORS:20180313-161721314
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180313-161721314
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85295
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:14 Mar 2018 02:51
Last Modified:22 Aug 2019 21:21

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