Universal quench dynamics of interacting quantum impurity systems

Abstract

The equilibrium physics of quantum impurities frequently involves a universal crossover from weak to strong reservoir-impurity coupling, characterized by single-parameter scaling and an energy scale $T_K$ (Kondo temperature) that breaks scale invariance. For the non-interacting resonant level model, the non-equilibrium time evolution of the Loschmidt echo after a local quantum quench was recently computed explicitely [R. Vasseur, K. Trinh, S. Haas, and H. Saleur, Phys. Rev. Lett. 110, 240601 (2013)]. It shows single-parameter scaling with variable $T_{K}t$. Here, we scrutinize whether similar universal dynamics can be observed in various interacting quantum impurity systems. Using density matrix and functional renormalization group approaches, we analyze the time evolution resulting from abruptly coupling two non-interacting Fermi or interacting Luttinger liquid leads via a quantum dot or a direct link. We also consider the case of a single Luttinger liquid lead suddenly coupled to a quantum dot. We investigate whether the field theory predictions for the universal scaling as well as for the large time behavior successfully describe the time evolution of the Loschmidt echo and the entanglement entropy of microscopic models.

14 pages, 10 figures

References in corpus (20)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Real time evolution using the density matrix renormalization group
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
• Evolution of entanglement after a local quench
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Large deviations and universality in quantum quenches
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Solution of the fermionic entanglement problem with interface defects
• New method for studying steady states in quantum impurity problems: The interacting resonant level model
• Exact low temperature results for transport properties of the interacting resonant level model
• Universal behavior of a bipartite fidelity at quantum criticality
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Quench dynamics of correlated quantum dots

Cited by in corpus (4)

• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Out-of-equilibrium dynamics in a quantum impurity model: numerics for particle transport and entanglement entropy
• Entanglement in composite free-fermion systems
• Bipartite Fidelity and Loschmidt Echo of Bosonic Conformal Interface