Loschmidt Echo
arXiv:1206.6348 · doi:10.4249/scholarpedia.11687
Abstract
In this article we review the past, present, and future of the Loschmidt Echo.
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Cited by in corpus (131)
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- The Second Law of Quantum Complexity
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- Noise Resilience of Variational Quantum Compiling
- Statistical correlations between locally randomized measurements: a toolbox for probing entanglement in many-body quantum states
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- Information Scrambling and Loschmidt Echo
- Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
- Time Evolution of Complexity: A Critique of Three Methods
- Algorithms for quantum simulation at finite energies
- Scrambling of Quantum Information in Quantum Many-Body Systems
- Gauging classical and quantum integrability through out-of-time ordered correlators
- Loschmidt echo and the many-body orthogonality catastrophe in a qubit-coupled Luttinger liquid
- Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality
- Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum
- Information Scrambling and Chaos in Open Quantum Systems
- Quench Dynamics of Isolated Many-Body Quantum Systems
- The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
- General Features of the Relaxation Dynamics of Interacting Quantum Systems
- Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
- Random Lindblad Dynamics
- Resilience of scrambling measurements
- Quantum transition-edge detectors
- Inevitable Power-law Behavior of Isolated Many-Body Quantum Systems and How It Anticipates Thermalization
- Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
- Quantum quench dynamics in Dicke superradiance models
- Subspace Variational Quantum Simulator
- Quantum work statistics, Loschmidt echo and information scrambling
- Lyapunov growth in quantum spin chains
- Nonexponential fidelity decay in isolated interacting quantum systems
- Dynamical signatures of quantum chaos and relaxation timescales in a spin-boson system
- Floquet Dynamics of Boundary-Driven Systems at Criticality
- Equilibration of Quasi-Integrable Systems
- Quantum coherence as a signature of chaos
- On-the-fly ab initio semiclassical evaluation of electronic coherences in polyatomic molecules reveals a simple mechanism of decoherence
- Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
- When can quantum decoherence be mimicked by classical noise?
- Loschmidt Echo in Many-Body Localized Phase
- Random Matrix Theory of the Isospectral twirling
- Quench echo and work statistics in integrable quantum field theories
- Finite time interaction quench in a Luttinger model
- Liouvillian spectral collapse in the Scully-Lamb laser model
- Optical absorption properties of laser-dressed matter
- Quantum quench in the Luttinger model with finite temperature initial state
- Scale-Invariant Survival Probability at Eigenstate Transitions
- Quantum to classical transition in the work distribution for chaotic systems
- Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
- Emergent decoherence induced by quantum chaos in a many-body system: A Loschmidt echo observation through NMR
- Dynamics of relaxation and dressing of a quenched Bose polaron
- Irreversibility, Loschmidt echo, and thermodynamic uncertainty relation
- Quantifying the sensitivity to errors in analog quantum simulation
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- Refined quantum Lyapunov exponents from replica out-of-time-order correlators
- Dirac quantum time mirror
- Butterflies from Information Metric
- Quantum scrambling of observable algebras
- Non-Markovian Quantum Dynamics and Classical Chaos
- Transient Loschmidt Echo in Quenched Ising Chains
- Loschmidt echo in many-spin systems: contrasting time-scales of local and global measurements
- Scrambling and operator entanglement in local non-Hermitian quantum systems
- A characterization of quantum chaos by two-point correlation functions
- Loschmidt echo in many-spin systems: a quest for intrinsic decoherence and emergent irreversibility
- Proliferation of effective interactions: decoherence-induced equilibration in a closed many-body system
- Quantum walks with quantum chaotic coins: Of the Loschmidt echo, classical limit and thermalization
- Anomalous dynamical response of non-Hermitian topological phases
- Low temperature quantum bounds on simple models
- Path integral approach to the quantum fidelity amplitude
- Semiclassical approach to the work distribution
- The semiclassical propagator in Fock space: dynamical echo and many-body interference
- The Loschmidt Spectral Form Factor
- Applications of fidelity measures to complex quantum systems
- Estimating ergodization time of a chaotic many-particle system from a time reversal of equilibrium noise
- Towards the Web of Quantum Chaos Diagnostics
- Time-reversal in a dipolar quantum many-body spin system
- Sensitivity to perturbations and quantum phase transitions
- Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Dynamical Aspects
- A single-world consistent interpretation of quantum mechanics from fundamental time and length uncertainties
- Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point
- Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
- Energy-band echoes: Time-reversed light emission from optically driven quasiparticle wavepackets
- Quantum time mirrors for general two-band systems
- Fragility of superposition states evaluated by the Loschmidt Echo
- Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
- Universal quantum computation with symmetric qubit clusters coupled to an environment
- Measuring Trotter error and its application to precision-guaranteed Hamiltonian simulations
- Operator size growth in Lindbladian SYK
- Role of marginality in quantum fidelity and Loschmidt echo: Dirac points in 2-D
- GPU accelerated Trotter-Suzuki solver for quantum spin dynamics
- About the quantum Talbot effect on the sphere
- Decoherence of Bell states by local interactions with a suddenly quenched spin environment
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- On the origin of the exponential decay of the Loschmidt echo in integrable systems
- Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
- Adapted Caldeira-Leggett Model
- Simulating Floquet scrambling circuits on trapped-ion quantum computers
- Time reversal of a discrete system coupled to a continuum based on non-Hermitian flip
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- Chaotic and regular dynamics in the three-site Bose-Hubbard model
- Lyapunov decay in quantum irreversibility
- The generic phase diagram of spin relaxation in solids and the Loschmidt echo
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- Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap
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- Escape Dynamics of Many Hard Disks
- Finite time path field theory and a new type of universal quantum spin chain quench behavior
- Simulating sparse SYK model with a randomized algorithm on a trapped-ion quantum computer
- Dynamics of Loschmidt echoes from operator growth in noisy quantum many-body systems
- Generalised fractional Rabi problem
- Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations
- Boltzmann-Loschmidt dispute reloaded quantum 150 years later
- Bimodal phase transition in a periodically modulated -type three-level system
- Loschmidt echo and Poincaré recurrences of entanglement
- Comparing quantum complexity and quantum fidelity
- Information acquisition, scrambling, and sensitivity to errors in quantum chaos
- Out-of-Time-Order-Correlation in perturbed quantum wells
- Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous