A Nonequilibrium quantum phase transition in strongly coupled spin chains

Abstract

We study spin transport in a boundary driven XXZ spin chain. Driving at the chain boundaries is modeled by two additional spin chains prepared in oppositely polarized states. Emergent behavior, both in the transient dynamics and in the long-time quasi-steady state, is demonstrated. Time-dependent matrix-product-state simulations of the system-bath state show ballistic spin transport below the Heisenberg isotropic point. Indications of exponentially vanishing transport are found above the Heisenberg point for low energy initial states while the current decays asymptotically as a power law for high energy states. Precisely at the critical point, non-ballistic transport is observed. Finally, it is found that the sensitivity of the quasi-stationary state on the initial state of the chain is a good witness of the different transport phases.

References in corpus (22)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Spin diffusion from an inhomogeneous quench in an integrable system
• "Light-cone" dynamics after quantum quenches in spin chains
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Observation of spin current in quantum spin liquid
• Heat conduction in low-dimensional quantum magnets
• Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
• Thermal conductivity via magnetic excitations in spin-chain materials
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Spin pumping and measurement of spin currents in optical superlattices
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
• Negative differential conductivity in far-from-equilibrium quantum spin chains
• Non-equilibrium transport in $d$-dimensional non-interacting Fermi gases
• Equivalence of transport coefficients in bath-induced and dynamical scenarios
• One-Dimensional Self-Organization and Nonequilibrium Phase Transition in a Hamiltonian System

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• Typicality of nonequilibrium (quasi-)steady currents
• Light propagation through one-dimensional interacting open quantum systems
• Emergence of steady currents due to strong prethermalization
• Arbitrary length XX spin chains boundary-driven by non-Markovian environments
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain