Sonic horizons and causality in phase transition dynamics

@article{Sadhukhan2020SonicHA,
  title={Sonic horizons and causality in phase transition dynamics},
  author={D. Sadhukhan and Aritra Sinha and Anna Francuz and Justyna Stefaniak and M. Rams and J. Dziarmaga and W. Zurek},
  journal={Physical Review B},
  year={2020},
  volume={101},
  pages={144429}
}
A system gradually driven through a symmetry-breaking phase transition is subject to the Kibble-Zurek mechanism (KZM). As a consequence of the critical slowing down, its state cannot follow local equilibrium, and its evolution becomes nonadiabatic near the critical point. In the simplest approximation, that stage can be regarded as an ``impulse'' where the state of the system remains unchanged. It leads to the correct KZM scaling laws. However, such a ``freeze-out'' might suggest that the… Expand
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References

SHOWING 1-10 OF 127 REFERENCES
Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be adiabatic in the vicinity of the critical point as a result of the critical slowing down (the divergence ofExpand
Causality and non-equilibrium second-order phase transitions in inhomogeneous systems.
TLDR
When a second-order phase transition is crossed at a finite rate, the evolution of the system stops being adiabatic as a result of the critical slowing down in the neighborhood of thecritical point, and the overall number of topological defects can be substantially suppressed. Expand
Winding up superfluid in a torus via Bose Einstein condensation
TLDR
This work simulates Bose-Einstein condensation in a ring using stochastic Gross-Pitaevskii equation and shows that BEC formation can spontaneously generate quantized circulation of the newborn condensate, and results may facilitate measuring the dynamical critical exponent for the BEC transition. Expand
Shards of Broken Symmetry: Topological Defects as Traces of the Phase Transition Dynamics
We discuss the origin of topological defects in phase transitions and analyze their role as a "diagnostic tool" in the study of the non-equilibrium dynamics of symmetry breaking. Homogeneous secondExpand
Critical dynamics of spontaneous symmetry breaking in a homogeneous Bose gas
TLDR
Using homodyne matter-wave interferometry to measure first-order correlation functions, the central quantitative prediction of the Kibble-Zurek theory is verified, namely the homogeneous-system power-law scaling of the coherence length with the quench rate. Expand
Quenches and dynamical phase transitions in a non-integrable quantum Ising model
We study quenching dynamics of a one-dimensional transverse Ising chain with nearest neighbor antiferromagentic interactions in the presence of a longitudinal field which renders the modelExpand
Symmetry Breaking Bias and the Dynamics of a Quantum Phase Transition.
TLDR
It is pointed out that, thanks to the divergent linear susceptibility at the critical point, even a tiny symmetry breaking bias can restore the adiabaticity of a quantum system driven across a quantum critical point. Expand
Kibble-Zurek problem: Universality and the scaling limit
Near a critical point, the equilibrium relaxation time of a system diverges and any change of control/thermodynamic parameters leads to non-equilibrium behavior. The Kibble-Zurek problem is toExpand
Quench dynamics near a quantum critical point
We study the dynamical response of a system to a sudden change of the tuning parameter $\ensuremath{\lambda}$ starting (or ending) at the quantum critical point. In particular, we analyze the scalingExpand
Activating critical exponent spectra with a slow drive
We uncover an aspect of the Kibble--Zurek phenomenology, according to which the spectrum of critical exponents of a classical or quantum phase transition is revealed, by driving the system slowly inExpand
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