Quantum quenches, linear response and superfluidity out of equilibrium

Abstract

By analysing the sensitivity to a twist in the boundary conditions of the stationary state attained by a many-body system long after a quantum quench, we extend the concepts of the helicity modulus and the stiffness to non-equilibrium situations. Using these generalised quantities, we characterise the out-of-equilibrium dynamics of hard-core bosons quenched to/from superfluid/insulating phases and show that qualitative new features emerge as compared to the equilibrium case. Our predictions can be tested in experiments with cold bosonic atoms confined in toroidal traps and subject to artificial gauge fields.

15 pages, 7 figures. Improved version; several changes in the manuscript

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• Multipartite entanglement structure in the Eigenstate Thermalization Hypothesis
• Non-linear current and dynamical quantum phase transitions in the flux-quenched Su-Schrieffer-Heeger model
• Transport Across an Impurity in One Dimensional Quantum Liquids Far From Equilibrium
• Nonequilibrium optical response of a one-dimensional Mott insulator
• Phase-induced transport in atomic gases: from superfluid to Mott insulator
• A simple theory for quantum quenches in the ANNNI model
• Dynamical phase transition in the 1D-transverse field Ising chain characterized by the transverse magnetization spectral function
• Charge and pairing dynamics in the attractive Hubbard model: mode coupling and the validity of linear-response theory