Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems
arXiv:1510.08355 · doi:10.1103/PhysRevB.94.041104
Abstract
We describe the critical behavior of 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 establish 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 obtained critical exponent is in an excellent agreement with experimental findings.
7 pages, 4 figures, revtex4
References in corpus (28)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Localization transitions in non-Hermitian quantum mechanics
- Experimental Study of Active LRC Circuits with PT-Symmetries
- Vortex Pinning and Non-Hermitian Quantum Mechanics
- Observation of Asymmetric Transport in Structures with Active Nonlinearities
- Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
- Observation of First-Order Metal-Insulator Transition without Structural Phase Transition in VO_2
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Mixed-state evolution in the presence of gain and loss
- Directed Quantum Chaos
- Bifurcation diagram and pattern formation in superconducting wires with electric currents
- Dielectric breakdown of Mott insulators in dynamical mean-field theory
- Evidence for charge-flux duality near the quantum Hall liquid to insulator transition
- Stimulation of the fluctuation superconductivity by the PT-symmetry
- Breakdown of the Mott insulator: Exact solution of an asymmetric Hubbard model
- PT-symmetric quantum Liouvillian dynamics
- Dielectric Breakdown in a Mott Insulator: Many-body Schwinger-Landau-Zener Mechanism studied with a Generalized Bethe Ansatz
- Nonequilibrium Steady State in a Quantum System: One-dimensional Transverse Ising Model with Energy Current
- Mott insulator phases and first-order melting in BSCCO crystals with periodic surface holes
- Formulation of the Schwinger mechanism in classical statistical field theory
- Dielectric Breakdown of a Mott Insulator
- Nanopattern-stimulated superconductor-insulator transition in thin TiN films
- Phase diagram of the non-hermitean asymmetric XXZ spin chain
- Vortex matching effect in engineered thin films of NbN
- Vortex Pinning and the Non-Hermitian Mott Transition
- Transport and Spectra in the Half-filled Hubbard Model: A Dynamical Mean Field Study
- Lattice field theories with an energy current
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- Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
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- Entanglement in non-equilibrium steady states and many-body localization breakdown in a current driven system
- Parity-time symmetry breaking in spin chains
- Exactly solvable time-dependent pseudo-Hermitian (1,1) Hamiltonian models
- Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
- Dynamics of a harmonic oscillator coupled with a Glauber amplifier
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- Scaling Universality at the Dynamic Vortex Mott Transition
- Non-equilibrium strong-coupling theory for a driven-dissipative ultracold Fermi gas in the BCS-BEC crossover region
- Quantum fluctuations on top of a -symmetric Bose-Einstein Condensate
- Keldysh field theory of a driven dissipative Mott insulator: nonequilibrium response and phase transitions
- Critical behavior of dynamic vortex Mott transition in superconducting arrays at fractional vortex densities
- Topological eigenvalues braiding and quantum state transfer near a third-order exceptional point
- Universality and critical behavior of the dynamical Mott transition in a system with long-range interactions
- Critical exponents and fine-grid vortex model of the dynamic vortex Mott transition in superconducting arrays
- Superconductor-like effects in an AC driven normal Mott-insulating quantum dot array
- A tale of two kinds of exceptional point in a hydrogen molecule
- Noisy Stark probes as quantum-enhanced sensors