Dynamics of an inhomogeneous quantum phase transition

Abstract

We argue that in a second order quantum phase transition driven by an inhomogeneous quench density of quasiparticle excitations is suppressed when velocity at which a critical point propagates across a system falls below a threshold velocity equal to the Kibble-Zurek correlation length times the energy gap at freeze-out divided by $\hslash$. This general prediction is supported by an analytic solution in the quantum Ising chain. Our results suggest, in particular, that adiabatic quantum computers can be made more adiabatic when operated in an "inhomogeneous" way.

7 pages; version to appear in a special issue of New J. Phys

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Cited by in corpus (53)

• Nonequilibrium dynamics of closed interacting quantum systems
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Tools for quantum simulation with ultracold atoms in optical lattices
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Long-range interacting quantum systems
• Adiabatic tracking of quantum many-body dynamics
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
• Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
• Space-time renormalization in phase transition dynamics
• Spontaneous nucleation of structural defects in inhomogeneous ion chains
• Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
• Full Counting Statistics of Topological Defects After Crossing a Phase Transition
• Inhomogeneous Kibble-Zurek mechanism: vortex nucleation during Bose-Einstein condensation
• Quantum annealing of the $p$-spin model under inhomogeneous transverse field driving
• Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
• Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation
• Sonic horizons and causality in the phase transition dynamics
• Controlling quantum critical dynamics of isolated systems
• Quantum Quench and Scaling of Entanglement Entropy
• Disorder-Induced Order in Quantum XY Chains
• Fast preparation of critical ground states using superluminal fronts
• Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
• Quench Dynamics Across Topological Quantum Phase Transitions
• Adiabatic dynamics of an inhomogeneous quantum phase transition: the case of z > 1 dynamical exponent
• Benchmarking quantum annealing dynamics: the spin-vector Langevin model
• Quantum phase transition with inhomogeneous driving in the Lechner-Hauke-Zoller model
• Cooling arbitrary near-critical systems using hyperbolic quenches
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition
• Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
• Exact thermal properties of free-fermionic spin chains
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• Beyond mean-field study of a binary bosonic mixture in a state-dependent honeycomb lattice
• Absence of orthogonality catastrophe after a spatially inhomogeneous interaction quench in Luttinger liquids
• Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
• Sampling diverse near-optimal solutions via algorithmic quantum annealing
• Experimental validation of the Kibble-Zurek Mechanism on a Digital Quantum Computer
• Measuring Majorana fermions qubit state and non-Abelian braiding statistics in quenched inhomogeneous spin ladders
• Quantum crystal growing: Adiabatic preparation of a bosonic antiferromagnet in the presence of a parabolic inhomogeneity
• Quantum heat waves in a one-dimensional condensate
• Driving a Quantum Phase Transition at Arbitrary Rate: Exact solution of the Transverse-Field Ising model
• Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Reducing defect production in random transverse-field Ising chains by inhomogeneous driving fields
• Non-adiabatic quantum phase transition in a trapped spinor condensate
• Dynamic hysteresis from bistability in an antiferromagnetic spinor condensate
• Exact bounds on the energy gap of transverse-field Ising chains by mapping to random walks
• Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
• Structure and scaling of Kitaev chain across a quantum critical point in real space
• Analytical shortcuts to adiabaticity of weakly driven processes
• Spatiotemporal Quenches in Long-Range Hamiltonians
• The anomalously slow dynamics of inhomogeneous quantum annealing
• Entanglement Spreading and Oscillation