Non-Equilibrium Universality in the Heating Dynamics of Interacting Luttinger Liquids

Abstract

We establish a new non-equilibrium scaling regime in the short time evolution of one-dimensional interacting open quantum systems subject to a generic heating mechanism. This dynamical regime is characterized by uncompensated phonon production and a super-diffusive, universal scaling of quasiparticle lifetimes with momentum $\sim q^{-5/3}$, distinct from finite and zero temperature cases. It is separated from a high momentum regime by a time dependent scale fading out as $q_0(t)\sim t^{-4/5}$. In the latter region we observe thermalization to an effective time-dependent equilibrium with linearly increasing temperature. By mapping out the dynamical phase diagram and computing the dynamical structure factor within an open system Keldysh functional integral approach, we show how these predictions can be explored in cold atom experiments by means of Bragg spectroscopy.

12 pages, 5 figures; we added a discussion about finite temperature initial states and corrected an error in the kinetic equation in the text. Fig. 2 has been replaced. Figs. 4-5 have been added

References in corpus (12)

• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Dynamical density-density correlations in the one-dimensional Bose gas
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Interaction-induced impeding of decoherence and anomalous diffusion
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• Hydrodynamic long-time tails after a quantum quench
• Perturbative approach to Markovian open quantum systems
• Luttinger liquid universality in the time evolution after an interaction quench
• Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers
• Collective mode damping and viscosity in a 1D unitary Fermi gas
• Universal Dephasing of Many-Body Rabi Oscillations of Atoms in One-Dimensional Traps

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