Dynamical Phase Transition from Nonequilibrium Dynamics of Dark Solitons

Abstract

By holographic duality, we identify a novel dynamical phase transition which results from the temperature dependence of non-equilibrium dynamics of dark solitons in a superfluid.For a non-equilibrium superfluid system with an initial density of dark solitons, there exists a critical temperature $T_d$,above which the system relaxes to equilibrium by producing sound waves, while below which it goes through an intermediate phase with a finite density of vortex-antivortex pairs. In particular, as $T_d$ is approached from below, the density of vortex pairs scales as $(T_d-T{)}^{\gamma }$ with the critical exponent $\gamma =1/2$.

10 pages, 11 figures, including supplemental material as appendices. The published version is slightly shortened

References in corpus (6)

• Building an AdS/CFT superconductor
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Experimental observation of oscillating and interacting matter wave dark solitons
• Defect formation beyond Kibble-Zurek mechanism and holography
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• Dynamical stability from quasi normal modes in 2nd, 1st and 0th order holographic superfluid phase transitions
• Topological Defects Formation with Momentum Dissipation
• Dynamics of a Vortex Dipole in a Holographic Superfluid
• Interface Dynamics of Strongly interacting Binary Superfluids
• Holographic Superfluid Solitons with Backreaction
• Uniform quenching processes in a holographic s+p model with reentrance
• Spontaneous Deformation of an AdS Spherical Black Hole
• Twisted kink crystal in holographic superconductor
• Quantum analog to flapping of flags: interface instability for co-flow binary superfluids
• Landau Instability and soliton formation
• Vortex shedding patterns in holographic superfluids at finite temperature
• Nonlinear Evolution of unstable Charged de Sitter Black Holes with Hyperboloidal Formalism
• A domain wall and chiral edge currents in holographic chiral phase transitions
• Pattern formation from Gauge/Gravity Duality
• Dissipation induced elastic-mode instability with topological excitation in holographic non-equilibrium steady cnoidal wave supersolid