Locating quantum critical points with Kibble-Zurek quenches

Abstract

We describe a scheme for finding quantum critical points based on studies of a non-equilibrium susceptibility during finite-rate quenches taking the system from one phase to another. We assume that two such quenches are performed in opposite directions, and argue that they lead to formation of peaks of a non-equilibrium susceptibility on opposite sides of a critical point. Its position is then narrowed to the interval marked off by these values of the parameter driving the transition, at which the peaks are observed. Universal scaling with the quench time of precision of such an estimation is derived and verified in two exactly solvable models. Experimental relevance of these results is expected.

arXiv comment9 pages, expanded discussion, added references

References in corpus (55)

• The density-matrix renormalization group in the age of matrix product states
• Nonequilibrium dynamics of closed interacting quantum systems
• Probing many-body dynamics on a 51-atom quantum simulator
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Cosmological Experiments in Condensed Matter Systems
• Effective quantum spin systems with ion traps
• Dynamics of a Quantum Phase Transition
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Quantum criticality
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Universal adiabatic dynamics across a quantum critical point
• The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
• Quantum Criticality
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Adiabatic-Impulse approximation for avoided level crossings: from phase transition dynamics to Landau-Zener evolutions and back again
• Exotic Freezing of Response in Quantum Many-Body System
• Soliton creation during a Bose-Einstein condensation
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Quantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions
• Optimal non-linear passage through a quantum critical point
• At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
• Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
• Space-time renormalization in phase transition dynamics
• Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
• Theory of defect production in nonlinear quench across a quantum critical point
• Symmetry breaking bias and the dynamics of a quantum phase transition
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
• Phase Transition in Space: How Far Does a Symmetry Bend Before It Breaks?
• Sonic horizons and causality in the phase transition dynamics
• Entanglement production due to quench dynamics of an anisotropic XY chain in a transverse field
• Probing quantum criticality and symmetry breaking at the microscopic level
• Asymptotic work statistics of periodically driven Ising chains
• Decoherence in the dynamical quantum phase transition of the transverse Ising chain
• Quantum Critical Scaling under Periodic Driving
• Signature of a Continuous Quantum Phase Transition in Nonequilibrium Energy Absorption: Footprints of Criticality on Highly Excited States
• Gradient critical phenomena in the Ising quantum chain
• Locating topological phase transitions using nonequilibrium signatures in local bulk observables
• Scaling of the entanglement spectrum in driving critical dynamics
• How to fix a broken symmetry: Quantum dynamics of symmetry restoration in a ferromagnetic Bose-Einstein condensate
• One-half of the Kibble-Zurek quench followed by free evolution
• Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble-Zurek mechanism
• Nonequilibrium critical dynamics in the quantum chiral clock model
• Accuracy of the adiabatic-impulse approximation for closed and open quantum systems
• Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations
• Fidelity approach to quantum phase transitions in quantum Ising model
• Spatial Kibble-Zurek mechanism through susceptibilities: the inhomogeneous quantum Ising model case

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• Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
• The effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators
• Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
• Kink correlations, domain size distribution, and the emptiness formation probability after the Kibble-Zurek quench in the quantum Ising chain
• Interferometry based on quantum Kibble-Zurek mechanism
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• Fermionic Magic Resources of Quantum Many-Body Systems
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Persistent oscillation of a Cooper-pair condensate of topological defects in a nonintegrable quantum Ising chain