Role of boundary conditions in the full counting statistics of
topological defects after crossing a continuous phase transition
- URL: http://arxiv.org/abs/2207.03795v2
- Date: Tue, 11 Oct 2022 09:53:44 GMT
- Title: Role of boundary conditions in the full counting statistics of
topological defects after crossing a continuous phase transition
- Authors: Fernando J. G\'omez-Ruiz, David Subires, and Adolfo del Campo
- Abstract summary: We analyze the role of boundary conditions in the statistics of topological defects.
We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
- Score: 62.997667081978825
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In a scenario of spontaneous symmetry breaking in finite time, topological
defects are generated at a density that scale with the driving time according
to the Kibble-Zurek mechanism (KZM). Signatures of universality beyond the KZM
have recently been unveiled: The number distribution of topological defects has
been shown to follow a binomial distribution, in which all cumulants inherit
the universal power-law scaling with the quench rate, with cumulant rations
being constant. In this work, we analyze the role of boundary conditions in the
statistics of topological defects. In particular, we consider a lattice system
with nearest-neighbor interactions subject to soft anti-periodic, open, and
periodic boundary conditions implemented by an energy penalty term. We show
that for fast and moderate quenches, the cumulants of the kink number
distribution present a universal scaling with the quench rate that is
independent of the boundary conditions except by an additive term, that becomes
prominent in the limit of slow quenches, leading to the breaking of power-law
behavior. We test our theoretical predictions with a one-dimensional scalar
theory on a lattice.
Related papers
- Gapless Floquet topology [40.2428948628001]
We study the existence of topological edge zero- and pi-modes despite the lack of bulk gaps in the quasienergy spectrum.
We numerically study the effect of interactions, which give a finite lifetime to the edge modes in the thermodynamic limit with the decay rate consistent with Fermi's Golden Rule.
arXiv Detail & Related papers (2024-11-04T19:05:28Z) - Critical spin models from holographic disorder [49.1574468325115]
We study the behavior of XXZ spin chains with a quasiperiodic disorder not present in continuum holography.
Our results suggest the existence of a class of critical phases whose symmetries are derived from models of discrete holography.
arXiv Detail & Related papers (2024-09-25T18:00:02Z) - Large Deviations Beyond the Kibble-Zurek Mechanism [2.4020585213586387]
We study the universality of fluctuations beyond the KZM.
We report the exact form of the rate function in the transverse-field quantum Ising model.
arXiv Detail & Related papers (2023-07-05T18:00:00Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Demonstration of error-suppressed quantum annealing via boundary
cancellation [0.0]
We generalize the boundary cancellation theorem to the case where the Liouvillian gap vanishes.
We experimentally test the predictions of the boundary cancellation theorem using quantum annealing hardware.
We demonstrate that the boundary cancellation protocol is more robust to parameter variations than protocols which employ pausing to enhance the probability of finding the ground state.
arXiv Detail & Related papers (2022-06-28T19:51:05Z) - Emergence of Fermi's Golden Rule [55.73970798291771]
Fermi's Golden Rule (FGR) applies in the limit where an initial quantum state is weakly coupled to a continuum of other final states overlapping its energy.
Here we investigate what happens away from this limit, where the set of final states is discrete, with a nonzero mean level spacing.
arXiv Detail & Related papers (2022-06-01T18:35:21Z) - Universal breakdown of Kibble-Zurek scaling in fast quenches across a
phase transition [0.0]
The crossing of a continuous phase transition gives rise to the formation of topological defects in the limit of slow quenches.
The Kibble-Zurek mechanism (KZM) predicts a universal power-law scaling of the defect density as a function of the quench time.
arXiv Detail & Related papers (2022-04-28T14:28:51Z) - Localisation in quasiperiodic chains: a theory based on convergence of
local propagators [68.8204255655161]
We present a theory of localisation in quasiperiodic chains with nearest-neighbour hoppings, based on the convergence of local propagators.
Analysing the convergence of these continued fractions, localisation or its absence can be determined, yielding in turn the critical points and mobility edges.
Results are exemplified by analysing the theory for three quasiperiodic models covering a range of behaviour.
arXiv Detail & Related papers (2021-02-18T16:19:52Z) - Universal Statistics of Vortices in a Newborn Holographic
Superconductor: Beyond the Kibble-Zurek Mechanism [52.77024349608834]
We investigate universal signatures beyond the celebrated Kibble-Zurek mechanism (KZM)
We characterize the distribution of vortices generated in a thermal quench leading to the formation of a holographic superconductor.
arXiv Detail & Related papers (2021-01-06T18:06:40Z) - Quasi-Locality Bounds for Quantum Lattice Systems. Part II.
Perturbations of Frustration-Free Spin Models with Gapped Ground States [0.0]
We study the stability with respect to a broad class of perturbations of gapped ground state phases of quantum spin systems.
Under a condition of Local Topological Quantum Order, the bulk gap is stable under perturbations that decay at long distances faster than a stretched exponential.
arXiv Detail & Related papers (2020-10-29T03:24:19Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.