Dynamics of quasiholes and quasiparticles at the edges of small lattices

• URL: http://arxiv.org/abs/2305.18364v2
• Date: Fri, 9 Feb 2024 15:02:48 GMT
• Title: Dynamics of quasiholes and quasiparticles at the edges of small lattices
• Authors: Xikun Li, B{\l}a\.zej Jaworowski, Masudul Haque, Anne E. B. Nielsen
• Abstract summary: We study dynamics of bosonic fractional quantum Hall systems in small lattices with cylindrical boundary conditions and low particle density. We numerically show that chiral motion of the density distribution is observed and robust for the case with positive potentials (quasiholes) Our results suggest that, in small lattices with low particle density, quasiparticles are strongly adversely affected in dynamical processes, whereas quasiholes are dynamically robust.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study quench dynamics of bosonic fractional quantum Hall systems in small lattices with cylindrical boundary conditions and low particle density. The states studied have quasiholes or quasiparticles relative to the bosonic Laughlin state at half filling. Pinning potentials are placed at edge sites (or sites close to the edges) and are then turned off. Because the edges of fractional quantum Hall systems host chiral edge modes, we expect chiral dynamics, with motion in one direction for positive potentials pinning quasiholes, and motion in the other direction for negative potentials pinning quasiparticles. We numerically show that chiral motion of the density distribution is observed and robust for the case with positive potentials (quasiholes), but that there is no noticeable chiral motion for negative potentials (quasiparticles). The comparison of the numerical ground states with model lattice Laughlin wavefunctions suggests that both positive and negative potentials do create and pin anyons that are not necessarily well-separated on small lattices. Initializing the dynamics with the model state also shows the lack of chiral dynamics of quasiparticles. Our results suggest that, in small lattices with low particle density, quasiparticles are strongly adversely affected in dynamical processes, whereas quasiholes are dynamically robust.

Related papers

• Diffusive Decay of Collective Quantum Excitations in Electron Gas [0.0]
  Generalized relations for the probability current and energy density distributions is obtained. Plasmon levels of quasipaticle in a square-well potential are unstable decaying into equilibrium state. The pronounced energy density valley close to half-space boundary at low level excitations predicts attractive force close to the surface.
  arXiv  Detail & Related papers  (2024-03-02T05:32:28Z)
• Oscillating Fields, Emergent Gravity and Particle Traps [55.2480439325792]
  We study the large-scale dynamics of charged particles in a rapidly oscillating field and formulate its classical and quantum effective theory description. Remarkably, the action models the effects of general relativity on the motion of nonrelativistic particles, with the values of the emergent curvature and speed of light determined by the field spatial distribution and frequency.
  arXiv  Detail & Related papers  (2023-10-03T18:00:02Z)
• The strongly driven Fermi polaron [49.81410781350196]
  Quasiparticles are emergent excitations of matter that underlie much of our understanding of quantum many-body systems. We take advantage of the clean setting of homogeneous quantum gases and fast radio-frequency control to manipulate Fermi polarons. We measure the decay rate and the quasiparticle residue of the driven polaron from the Rabi oscillations between the two internal states.
  arXiv  Detail & Related papers  (2023-08-10T17:59:51Z)
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice [0.0]
  The fate of the single particle immersed in and interacting with a bath of other particles localized in a tilted lattice is investigated. For tilt values comparable to the tunneling rate a slow-down of the dynamics is observed without, however, a clear localization of the impurity.
  arXiv  Detail & Related papers  (2023-06-11T15:35:47Z)
• Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction [91.3755431537592]
  We study theoretically repelling quantum states of two spinless particles in a one-dimensional tight-binding model. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states.
  arXiv  Detail & Related papers  (2022-11-11T07:34:54Z)
• Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models [0.0]
  We introduce a hitherto unexplored family of kinetically constrained models featuring a conserved particle number. We reproduce the logarithmic dynamics observed in the quantum case using a classically simulable cellular automaton.
  arXiv  Detail & Related papers  (2022-10-27T16:50:27Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Nonergodic dynamics in disorder-free potentials [0.0]
  We show that a simple picture of an effective local tilt describes a variety of cases. Examples include spinless fermions, spinful fermions as well as bosons that enjoy a larger local on-site Hilbert space.
  arXiv  Detail & Related papers  (2021-01-26T20:04:41Z)
• Enhanced decoherence for a neutral particle sliding on a metallic surface in vacuum [68.8204255655161]
  We show that non-contact friction enhances the decoherence of the moving atom. We suggest that measuring decoherence times through velocity dependence of coherences could indirectly demonstrate the existence of quantum friction.
  arXiv  Detail & Related papers  (2020-11-06T17:34:35Z)
• Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder [13.46516066673]
  We study the rung-pair localization of the Bose-Hubbard ladder model without quenched disorder. In the hard-core limit, there exists a rung-pair localization both at the edges and in the bulk. Our results reveal another interesting type of disorder-free localization related to a zero-energy flat band.
  arXiv  Detail & Related papers  (2020-05-18T08:40:40Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.