Criticality in transport through the quantum Ising chain
arXiv:1208.5989 · doi:10.1103/PhysRevLett.109.240402
Abstract
We consider thermal transport between two reservoirs coupled by a quantum Ising chain as a model for non-equilibrium physics induced in quantum-critical many-body systems. By deriving rate equations based on exact expressions for the quasiparticle pairs generated during the transport, we observe signatures of the underlying quantum phase transition in the steady-state energy current already at finite reservoir temperatures.
to appear in PRL
References in corpus (31)
- Floquet Topological Insulator in Semiconductor Quantum Wells
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Dynamical control of matter-wave tunneling in periodic potentials
- Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
- Dissipative Phase Transition in Central Spin Systems
- Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
- Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
- Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
- Modeling heat transport through completely positive maps
- Dynamics of Nonequilibrium Dicke Models
- Quantum phase transition in a far from equilibrium steady state of XY spin chain
- Nonequilibrium Quantum Phase Transitions in the Dicke Model
- Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
- Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
- Quantum Simulation and Phase Diagram of the Transverse Field Ising Model with Three Atomic Spins
- Quantum quench influenced by an excited-state phase transition
- Direct observation of quantum criticality in Ising spin chains
- Vibrational cooling, heating, and instability in molecular conducting junctions: Full counting statistics analysis
- Nonequilibrium density matrix description of steady state quantum transport
- Critical exponents of steady-state phase transitions in fermionic lattice models
- Transport in a one-dimensional isotropic Heisenberg model at high temperature
- Quantum chaos and critical behavior on a chip
- Decoherence in the dynamical quantum phase transition of the transverse Ising chain
- Quantum simulator for the Ising model with electrons floating on a helium film
- Heat transport in quantum spin chains: the relevance of integrability
- Counting Statistics in Multi-stable Systems
- Counting statistics of collective photon transmissions
- Decoherence in a dynamical quantum phase transition
Cited by in corpus (21)
- Limit cycle phase in driven-dissipative spin systems
- Nonequilibrium Energy Transfer at Nanoscale: A Unified Theory from Weak to Strong Coupling
- Time crystallinity in open quantum systems
- Steady quantum coherence in non-equilibrium environment
- Non-Markovian effects in electronic and spin transport
- Transport with ultracold atoms at constant density
- Local master equations may fail to describe dissipative critical behavior
- Thermalization in the Quantum Ising Model - Approximations, Limits, and Beyond
- Decoherence in the quantum Ising model with transverse dissipative interaction in the strong coupling regime
- Transport and energetic properties of a ring of interacting spins coupled to heat baths
- Translation symmetry-enriched toric code insulator
- Quantum Transport of Energy in Controlled Synthetic Quantum Magnets
- Decoherence and relaxation of topological states in extended quantum Ising models
- Polaron-transformed dissipative Lipkin-Meshkov-Glick Model
- Heat, particle and chiral currents in a boundary driven bosonic ladders in presence of gauge fields
- Transport as a sensitive indicator of quantum criticality
- Quantum thermal machine as a rectifier
- Transport through a quantum critical system: A thermodynamically consistent approach
- Wiseman-Milburn Control for the Lipkin-Meshkov-Glick Model
- Unification of Finite Symmetries in Simulation of Many-body Systems on Quantum Computers
- Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain