Non-equilibrium quantum dynamics after local quenches

Abstract

We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse Ising chain and compute the time-dependence of the magnetization profile, m_l(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite size scaling forms for the nonequilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by our predictions from a quasi-classical calculation.

23 pages, 14 figures

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Cited by in corpus (25)

• Quantum quenches in 1+1 dimensional conformal field theories
• Mutual information after a local quench in conformal field theory
• Local quenches with global effects in interacting quantum systems
• Entanglement spreading after a geometric quench in quantum spin chains
• Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
• Quantum quenches in the sine--Gordon model: a semiclassical approach
• Universal front propagation in the quantum Ising chain with domain-wall initial states
• Time Evolution within a Comoving Window: Scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains
• Growth of mutual information in a quenched one-dimensional open quantum many body system
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains
• Front dynamics in the XY chain after local excitations
• Measurement quench in many-body systems
• Nonequilibrium quench dynamics in quantum quasicrystals
• Decoherence and equilibration under nondestructive measurements
• Local Quench, Majorana Zero Modes, and Disturbance Propagation in the Ising chain
• Simulation of the Dynamics of Many-Body Quantum Spin Systems Using Phase-Space Techniques
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Universal Single-Frequency Oscillations in a Quantum Impurity System After a Local Quench
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
• Splitting a critical spin chain
• Dynamics of the impurity screening cloud following quantum quenches of the Resonant Level Model
• Nonlocal fermions and the entropy volume law
• Dynamics in quantum Ising chain driven by inhomogeneous transverse magnetization
• Ballistic propagation of a local impact in the one-dimensional $XY$ model