Thermally isolated Luttinger liquids with noisy Hamiltonians

Abstract

We study the dynamics of a quantum-coherent thermally isolated Luttinger liquid with noisy Luttinger parameter. To characterize the fluctuations of the absorbed energy in generic noise-driven systems, we first identify two types of energy moments, which can help tease apart the effects of classical (sample-to-sample) and quantum sources of fluctuations. One type of moment captures the total fluctuations due to both sources, while the other one captures the effect of the classical source only. We then demonstrate that in the Luttinger liquid case, the two types of moments agree in the thermodynamic limit, indicating that the classical source dominates. In contrast to equilibrium thermodynamics, in this driven system the relative fluctuations of energy do not decay with the system size. Additionally, we study the deviations of equal-time correlation functions from their ground-state value, and find a simple scaling behavior.

11 pages, 2 figures

References in corpus (17)

• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• The Luttinger model following a sudden interaction switch-on
• Strongly correlated fermions after a quantum quench
• Quantum quench dynamics of the Luttinger model
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Probing Lee-Yang zeros and coherence sudden death
• Luttinger liquid universality in the time evolution after an interaction quench
• Matter-wave Interferometry with Phase Fluctuating Bose-Einstein Condensates
• Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
• Generalized Gibbs ensemble and work statistics of a quenched Luttinger liquid
• Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction
• Time-evolution and dynamical phase transitions at a critical time in a system of one dimensional bosons after a quantum quench
• Optimal control for unitary preparation of many-body states: application to Luttinger liquids
• Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
• Cooling through optimal control of quantum evolution

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• Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
• Non-Equilibrium Dynamics of a Noisy Quantum Ising Chain: statistics of the work and prethermalization after a sudden quench of the transverse field
• Optimal diabatic dynamics of Majorana-based quantum gates
• Driven quantum spin chain in the presence of noise: Anti-Kibble-Zurek behavior
• Dynamics of noisy quantum systems in the Heisenberg picture: application to the stability of fractional charge
• Quantum dynamics with an ensemble of Hamiltonians
• Interplay of Anderson localization and quench dynamics
• Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving