Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
arXiv:1910.10728 · doi:10.1103/PhysRevLett.124.110601
Abstract
A remarkable feature of quantum many-body systems is the orthogonality catastrophe which describes their extensively growing sensitivity to local perturbations and plays an important role in condensed matter physics. Here we show that the dynamics of the orthogonality catastrophe can be fully characterized by the quantum speed limit and, more specifically, that any quenched quantum many-body system whose variance in ground state energy scales with the system size exhibits the orthogonality catastrophe. Our rigorous findings are demonstrated by two paradigmatic classes of many-body systems -- the trapped Fermi gas and the long-range interacting Lipkin-Meshkov-Glick spin model.
arXiv comment4.5+1 pages. 3+1 figures. Close to published version
References in corpus (57)
- Topological Insulators
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Many-body localization, thermalization, and entanglement
- Colloquium: Topological Band Theory
- Colloquium: The transport properties of graphene: An introduction
- The maximum speed of dynamical evolution
- Ground state overlap and quantum phase transitions
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Quantum speed limits in open system dynamics
- Generalized Limits for Single-Parameter Quantum Estimation
- Quantum limits to dynamical evolution
- Ultrafast many-body interferometry of impurities coupled to a Fermi sea
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
- Generalized Geometric Quantum Speed Limits
- Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
- Trade-off between speed and cost in shortcuts to adiabaticity
- Driving at the quantum speed limit: Optimal control of a two-level system
- The Thermodynamical Limit of the Lipkin-Meshkov-Glick Model
- Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
- Energy-time uncertainty relation for driven quantum systems
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Tightening Quantum Speed Limits for Almost All States
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Environment assisted speed-up of the field evolution in cavity QED
- Decoherence of Impurities in a Fermi Sea of Ultracold Atoms
- Orthogonality catastrophe as a consequence of qubit embedding in an ultra-cold Fermi gas
- Quench Dynamics and Orthogonality Catastrophe of Bose Polarons
- Loschmidt Echo Revivals: Critical and Noncritical
- Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
- Geometric Speed Limit of Accessible Many-Body State Preparation
- Quantum speed limits for leakage and decoherence
- Long-time behavior of many-particle quantum decay
- Geometric quantum speed limits: a case for Wigner phase space
- Exactly solvable two-level quantum systems and Landau-Zener interferometry
- Optimal control of a qubit in an optical cavity
- Quantum Speed Limit and optimal evolution time in a two-level system
- Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
- Transient Orthogonality Catastrophe in a Time Dependent Nonequilibrium Environment
- Quenching small quantum gases: Genesis of the orthogonality catastrophe
- Orthogonality catastrophe and decoherence in a trapped-Fermion environment
- Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
- Time scale for adiabaticity breakdown in driven many-body systems and orthogonality catastrophe
- Fidelity of fermionic atom-number states subjected to tunneling decay
- Non-Equilibrium Thermodynamics of Harmonically Trapped Bosons
- Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
- Anderson Orthogonality in the Dynamics After a Local Quantum Quench
- Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
- Quantum Critical Dynamics of A Qubit Coupled to An Isotropic Lipkin-Meshkov-Glick Bath
- Loschmidt echo for local perturbations: non-monotonous cross-over from the Fermi-golden-rule to the escape-rate regime
- Transient Loschmidt Echo in Quenched Ising Chains
- Quantum Zeno effect in correlated qubits
- Gapped Quantum Criticality Gains Long Time Quantum Correlations
- Irreversible Work and Orthogonality Catastrophe in the Aubry-André model
Cited by in corpus (66)
- In situ thermometry of a cold Fermi gas via dephasing impurities
- From pulses to circuits and back again: A quantum optimal control perspective on variational quantum algorithms
- Unifying Quantum and Classical Speed Limits on Observables
- Quantum speed limits and the maximal rate of information production
- Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
- Action quantum speed limits
- Dynamical Topological Quantum Phase Transitions at Criticality
- Probing Quantum Speed Limits with Ultracold Gases
- Information scrambling vs. decoherence -- two competing sinks for entropy
- A many-body heat engine at criticality
- From quantum speed limits to energy-efficient quantum gates
- Topological Speed Limit
- Performance Evaluation of Adiabatic Quantum Computation via Quantum Speed Limits and Possible Applications to Many-Body Systems
- Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
- Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth
- Bounding generalized relative entropies: Nonasymptotic quantum speed limits
- Diverging quantum speed limits: a herald of classicality
- Quantum speed limit for thermal states
- Work statistics and symmetry breaking in an excited state quantum phase transition
- Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
- Non-Gaussian work statistics at finite-time driving
- Probing the edge between integrability and quantum chaos in interacting few-atom systems
- Generalized Wiedemann-Franz law in a two-site charge Kondo circuit: Lorenz ratio as a manifestation of the orthogonality catastrophe
- Experimental Investigation of Geometric Quantum Speed Limits in an Open Quantum System
- Nonadiabatic energy fluctuations of scale-invariant quantum systems in a time-dependent trap
- Ultrafast critical ground state preparation via bang-bang protocols
- Unified entropies and quantum speed limits for nonunitary dynamics
- Quantum speed limits in arbitrary phase spaces
- Enhancing precision thermometry with nonlinear qubits
- Classical and quantum speed limits
- Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
- Quantum Speed Limits Based on Schatten Norms: Universality and Tightness
- Phases and dynamics of few fermionic impurities immersed in two-dimensional boson droplets
- Analyticity constraints bound the decay of the spectral form factor
- Adiabatic quantum trajectories in engineered reservoirs
- Signature of Generalized Gibbs Ensemble Deviation from Equilibrium: Negative Absorption Induced by a Local Quench
- Quantum speed limit from a quantum-state-diffusion method
- Stochastic-field approach to the quench dynamics of the one-dimensional Bose polaron
- High fidelity control of a many-body Tonks--Girardeau gas with an effective mean-field approach
- Classical description of the parameter space geometry in the Dicke and Lipkin-Meshkov-Glick models
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
- A new route toward orthogonality
- Quantum acceleration by an ancillary system in non-Markovian environments
- Quantum speed limit for the maximum coherent state under squeezed environment
- Dynamical quantum phase transitions from random matrix theory
- Fundamental limitations of the eigenvalue continuation approach
- Generalized Entropic Quantum Speed Limits
- Towards generation of cat states in trapped ions set-ups via FAQUAD protocols and dynamical decoupling
- Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
- Coherent Quantum Speed Limits
- Impact of quantum coherence on the dynamics and thermodynamics of quenched free fermions coupled to a localized defect
- Effective information bounds in modified quantum mechanics
- Mimicking states with limited resources: passing quantum quiz via global control
- Quantum speed limits for an open system in contact with a thermal bath
- Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
- Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians
- Rate Function Modelling of Quantum Many-Body Adiabaticity
- Speed limits on classical chaos
- Implementation of multiparticle quantum speed limits on observables
- Nonequilibrium many-body dynamics in supersymmetric quenching
- Superoscillating Quantum Control Induced By Sequential Selections
- Nonlinear speed-ups in ultracold quantum gases
- Signatures of the orthogonality catastrophe in a coherently driven impurity
- Double-bracket quantum algorithms for high-fidelity ground state preparation
- Orthogonalization speed-up from quantum coherence after a sudden quench