TY - JOUR

T1 - Quenched dynamics in interacting one-dimensional systems

T2 - Appearance of current-carrying steady states from initial domain wall density profiles

AU - Lancaster, Jarrett

AU - Gull, Emanuel

AU - Mitra, Aditi

PY - 2010/12/16

Y1 - 2010/12/16

N2 - We investigate dynamics arising after an interaction quench in the quantum sine-Gordon model for a one-dimensional system initially prepared in a spatially inhomogeneous domain wall state. We study the time evolution of the density, current, and equal time correlation functions using the truncated Wigner approximation to which quantum corrections are added in order to set the limits on its validity. For weak to moderate strengths of the backscattering interaction, the domain wall spreads out ballistically with the system within the light cone reaching a nonequilibrium steady state characterized by a net current flow. A steady-state current exists for a quench at the exactly solvable Luther-Emery point. The magnitude of the current decreases with increasing strength of the backscattering interaction. The two-point correlation function of the variable canonically conjugate to the density reaches a spatially oscillating steady state at a wavelength inversely related to the current.

AB - We investigate dynamics arising after an interaction quench in the quantum sine-Gordon model for a one-dimensional system initially prepared in a spatially inhomogeneous domain wall state. We study the time evolution of the density, current, and equal time correlation functions using the truncated Wigner approximation to which quantum corrections are added in order to set the limits on its validity. For weak to moderate strengths of the backscattering interaction, the domain wall spreads out ballistically with the system within the light cone reaching a nonequilibrium steady state characterized by a net current flow. A steady-state current exists for a quench at the exactly solvable Luther-Emery point. The magnitude of the current decreases with increasing strength of the backscattering interaction. The two-point correlation function of the variable canonically conjugate to the density reaches a spatially oscillating steady state at a wavelength inversely related to the current.

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U2 - 10.1103/PhysRevB.82.235124

DO - 10.1103/PhysRevB.82.235124

M3 - Article

AN - SCOPUS:78650890719

SN - 1098-0121

VL - 82

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

IS - 23

M1 - 235124

ER -