O(N) symmetry-breaking quantum quench: Topological defects versus quasiparticles

Abstract

We present an analytical derivation of the winding number counting topological defects created by an O(N) symmetry-breaking quantum quench in N spatial dimensions. Our approach is universal in the sense that we do not employ any approximations apart from the large-$N$ limit. The final result is nonperturbative in N, i.e., it cannot be obtained by %the usual an expansion in 1/N, and we obtain far less topological defects than quasiparticle excitations, in sharp distinction to previous, low-dimensional investigations.

6 pages of RevTex4-1, 1 figure; to be published in Physical Review D

References in corpus (14)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Spontaneous vortices in the formation of Bose-Einstein condensates
• Universal adiabatic dynamics across a quantum critical point
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Defect production in non-linear quench across a quantum critical point
• Quantum quenches in a spinor condensate
• Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
• Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate
• Dynamics of a quantum phase transition in a ferromagnetic Bose-Einstein condensate
• Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
• Many body generalization of the Landau Zener problem
• Dynamical quantum phase transitions
• Effect of fluctuations on the superfluid-supersolid phase transition on the lattice

Cited by in corpus (33)

• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
• Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
• Spontaneous nucleation of structural defects in inhomogeneous ion chains
• Full Counting Statistics of Topological Defects After Crossing a Phase Transition
• Emergence of coherence in the Mott--superfluid quench of the Bose-Hubbard model
• Symmetry breaking bias and the dynamics of a quantum phase transition
• Sonic horizons and causality in the phase transition dynamics
• Controlling quantum critical dynamics of isolated systems
• Quenching through Dirac and semi-Dirac points in optical Lattices: Kibble-Zurek scaling for anisotropic Quantum-Critical systems
• Kibble-Zurek Dynamics in a Trapped Ultracold Bose Gas
• System size scaling of topological defect creation in a second-order dynamical quantum phase transition
• Topological relics of symmetry breaking: Winding numbers and scaling tilts from random vortex-antivortex pairs
• Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
• Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
• 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
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• Counting defects with the two-point correlator
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• Quantum quench dynamics and population inversion in bilayer graphene
• Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
• Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions
• Topological Defects in Quantum Field Theory with Matrix Product States
• The Kibble Zurek Mechanism of Topological Defect Formation in Quantum Field Theory with Matrix Product States
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Collective excitations and universal coarsening dynamics of a spin-orbit-coupled spin-1 Bose-Einstein condensate
• Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
• Persistent oscillation of a Cooper-pair condensate of topological defects in a nonintegrable quantum Ising chain
• Structure and scaling of Kitaev chain across a quantum critical point in real space
• Finite-rate quench in disordered Chern and $Z_2$ topological insulators
• Gravity-driven Transport along Cylindrical Topological Defects : Possible Dark Matter and Nearly Frictionless States