From black hole to one-dimensional chain: parity symmetry breaking and kink formation
arXiv:2207.10995 · doi:10.1103/PhysRevD.108.106015
Abstract
AdS/CFT correspondence is a "first-principle" tool to study the strongly coupled many-body systems. While it has been extensively applied to investigate the continuous symmetry breaking dynamics, the discrete symmetry breaking dynamics are rarely investigated. In this paper, the model of kink formation in a strongly coupled one-dimensional chain is realized from the AdS/CFT correspondence. In doing so, we first construct a model of real scalar fields with parity symmetries in the AdS bulk. By quenching the system across the critical point at a finite rate, kink hairs turn out in the bulk due to the spontaneous parity symmetry breaking, which accomplishes a counter-example of "no hair conjecture" of black hole. Due to the AdS/CFT correspondence, kink hairs in the bulk are dual to the kinks in the AdS boundary. The mean of the dual kink numbers are found to satisfy a universal power-law relation to the quench rate, in agreement with the celebrated Kibble-Zurek mechanism. Moreover, the higher cumulants of the kink numbers are proportional to the mean numbers, consistent with the assumption that the formation of kinks satisfy the binomial distributions which goes beyond the Kibble-Zurek mechanism.
arXiv comment12+5 pages; 4+3 figures; compatible with PRD version
References in corpus (33)
- Gauge Theory Correlators from Non-Critical String Theory
- Building an AdS/CFT superconductor
- Breaking an Abelian gauge symmetry near a black hole horizon
- Cosmological Experiments in Condensed Matter Systems
- Soft Hair on Black Holes
- Big bang simulation in superfluid 3He-B -- Vortex nucleation in neutron-irradiated superflow
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- Dilatonic Black Holes with Gauss-Bonnet Term
- Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
- Universality class of holographic superconductors
- Defect formation beyond Kibble-Zurek mechanism and holography
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
- Critical Dynamics of Symmetry Breaking: Quenches, Dissipation and Cosmology
- Double wells, scalar fields and quantum phase transitions in ions traps
- A general class of holographic superconductors
- Full Counting Statistics of Topological Defects After Crossing a Phase Transition
- Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
- Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
- Entanglement entropy in quantum spin chains with finite range interaction
- Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism
- Holographic Josephson Junction from Massive Gravity
- Kibble-Zurek Scaling in Holographic Quantum Quench : Backreaction
- Topological defects as relics of spontaneous symmetry breaking from black hole physics
- Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition
- Winding up a finite size holographic superconducting ring beyond Kibble-Zurek mechanism
- Kibble-Zurek scaling in holography
- Topological Defects Formation with Momentum Dissipation
- Dynamic generation or removal of a scalar hair
- Formation and critical dynamics of topological defects in Lifshitz holography
- Holographic topological defects in a ring: role of diverse boundary conditions
- Holographic topological defects and local gauge symmetry: clusters of strongly coupled equal-sign vortices
- Periodicities in a multiply connected geometry from quenched dynamics