Efficient quantum information probes of non-equilibrium quantum criticality
arXiv:2111.00811 · doi:10.1038/s41534-022-00671-8
Abstract
Quantum information-based approaches, in particular the fidelity, have been flexible probes for phase boundaries of quantum matter. A major hurdle to a more widespread application of fidelity and other quantum information measures to strongly correlated quantum materials is the inaccessibility of the fidelity susceptibility to most state-of-the-art numerical methods. This is particularly apparent away from equilibrium where, at present, no general critical theory is available and many standard techniques fail. Motivated by the usefulness of quantum information based measures we show that a widely accessible quantity, the single-particle affinity, is able to serve as a versatile instrument to identify phase transitions beyond Landau's paradigm. We demonstrate that it not only is able to signal previously identified non-equilibrium phase transitions but also has the potential to detect hitherto unknown phases in models of quantum matter far from equilibrium.
arXiv comment8+4 pages, 3+5 figures
References in corpus (54)
- Scaling of Entanglement close to a Quantum Phase Transitions
- Efficient simulation of one-dimensional quantum many-body systems
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- The ITensor Software Library for Tensor Network Calculations
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Fidelity approach to quantum phase transitions
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Dissipative Phase Transition in Central Spin Systems
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Exact nonequilibrium steady state of a strongly driven open XXZ chain
- Many-body localization characterized from a one-particle perspective
- Matrix product simulations of non-equilibrium steady states of quantum spin chains
- Mixed-state fidelity and quantum criticality at finite temperature
- Quantum fidelity and quantum phase transitions in matrix product states
- Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
- Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
- Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
- Matrix product solutions of boundary driven quantum chains
- Bures metric over thermal state manifolds and quantum criticality
- Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
- Exact Nonequilibrium Steady State of an Open Hubbard Chain
- Dephasing-induced diffusive transport in anisotropic Heisenberg model
- Symmetry and the thermodynamics of currents in open quantum systems
- Dissipation driven quantum phase transitions and symmetry breaking
- Heat transport in the spin chain: from ballistic to diffusive regimes and dephasing enhancement
- Critical exponents of steady-state phase transitions in fermionic lattice models
- Diffusive high-temperature transport in the one-dimensional Hubbard model
- Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics
- Symmetries and Conservation Laws in Quantum Trajectories: Dissipative Freezing
- Breaking the entanglement barrier: Tensor network simulation of quantum transport
- Negative differential conductivity in far-from-equilibrium quantum spin chains
- Coexistence of diffusive and ballistic transport in a simple spin ladder
- One-particle density matrix characterization of many-body localization
- Stability of local quantum dissipative systems
- Generalised Dicke non-equilibrium dynamics in trapped ions
- Dissipative phase transitions: Independent versus collective decay and spin squeezing
- Transport in a one-dimensional isotropic Heisenberg model at high temperature
- Scaling of diffusion constants in the spin-1/2 XX ladder
- Long range order in non-equilibrium interacting quantum spin chains
- Non-equilibrium magnetic phases in spin lattices with gain and loss
- Ground-state fidelity at first-order quantum transitions
- Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems
- The Lipkin-Meshkov-Glick model with Markovian dissipation -- A description of a collective spin on a metallic surface
- Magnetization transport in spin ladders and next-nearest-neighbor chains
- Infinitely dimensional Lax structure for one-dimensional Hubbard model
- Area law for fixed points of rapidly mixing dissipative quantum systems
- Ballistic-to-diffusive transition in spin chains with broken integrability
- Emergence of spontaneous symmetry breaking in dissipative lattice systems
- Steady-state dynamics and effective temperatures of quantum criticality in an open system
- High order non-unitary split-step decomposition of unitary operators
- Mixed-order symmetry-breaking quantum phase transition far from equilibrium