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Title: Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems

Journal Article · · Physical Review B
 [1];  [2];  [3];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Tata Inst. of Fundamental Research, Bombay (India). Dept. of Theoretical Physics
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  3. Tata Inst. of Fundamental Research, Bombay (India). Dept. of Theoretical Physics

Here, we describe the critical behavior of the electric field-driven (dynamic) Mott insulator-to-metal transitions in dissipative Fermi and Bose systems in terms of non-Hermitian Hamiltonians invariant under simultaneous parity (P) and time-reversal (T) operations. The dynamic Mott transition is identified as a PT symmetry-breaking phase transition, with the Mott insulating state corresponding to the regime of unbroken PT symmetry with a real energy spectrum. We also established that the imaginary part of the Hamiltonian arises from the combined effects of the driving field and inherent dissipation. We derive the renormalization and collapse of the Mott gap at the dielectric breakdown and describe the resulting critical behavior of transport characteristics. The critical exponent we obtained is in an excellent agreement with experimental findings.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1352639
Alternate ID(s):
OSTI ID: 1260307
Journal Information:
Physical Review B, Vol. 94, Issue 4; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

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Cited By (7)

Dynamics of a harmonic oscillator coupled with a Glauber amplifier journal December 2019
Nonequilibrium strong-coupling theory for a driven-dissipative ultracold Fermi gas in the BCS-BEC crossover region journal January 2020
Exactly solvable time-dependent pseudo-Hermitian su(1,1) Hamiltonian models journal September 2018
Critical exponents and fine-grid vortex model of the dynamic vortex Mott transition in superconducting arrays journal September 2019
Information Retrieval and Criticality in Parity-Time-Symmetric Systems journal November 2017
Non-Hermitian Many-Body Localization journal August 2019
Parity-time-symmetric topological superconductor text January 2018

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