Universal nonadiabatic energy pumping in a quasiperiodically driven extended system

• URL: http://arxiv.org/abs/2110.07757v2
• Date: Mon, 6 Dec 2021 14:23:52 GMT
• Title: Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
• Authors: Zihao Qi, Gil Refael, Yang Peng
• Abstract summary: We propose an experimentally realizable, one dimensional chain driven by two frequencies, which maps into a gapless Weyl semimetal in synthetic dimension. Based on analytical reasoning and numerical simulations, we found the nonadiabatic quantum dynamics of this system exhibit energy pumping behaviors characterized by universal functions.
• Score: 1.6328866317851185
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower dimensional time-dependent system maps into a higher dimensional one by combining the physical dimensions with additional synthetic dimensions generated by multiple incommensurate driving frequencies. Different than most previous works in which gapped topological phases were considered, we propose an experimentally realizable, one dimensional chain driven by two frequencies, which maps into a gapless Weyl semimetal in synthetic dimension. Based on analytical reasoning and numerical simulations, we found the nonadiabatic quantum dynamics of this system exhibit energy pumping behaviors characterized by universal functions. We also numerically found such behaviors are robust against a considerable amount of spatial disorder.

Related papers

• Nonequilibrium relaxation exponentially delays the onset of quantum diffusion [0.0]
  We exploit a recent breakthrough that generalizes the concept of memory beyond its conventional temporal meaning to also encompass space. We employ the dynamics of small lattices over short times to predict the dynamics of thermodynamically large lattices over arbitrarily long timescales. We also compare transport in 1D and 2D systems to investigate the effect of dimension in polaron migration physics.
  arXiv  Detail & Related papers  (2024-11-26T01:09:23Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions [0.0]
  We study quench dynamics of two-dimensional lattice systems consisting of interacting spinless fermions with potential disorder. We show that the semiclassical dynamics generally relaxes faster than the full quantum dynamics. We show that strongly disordered one-dimensional and two-dimensional systems exhibit a transient, logarithmic-in-time relaxation.
  arXiv  Detail & Related papers  (2022-09-29T19:11:38Z)
• Creating boundaries along a synthetic frequency dimension [2.7900873958676846]
  We experimentally explore various physics effects associated with the creation of sharp boundaries in synthetic frequency dimensions. The incorporation of boundaries allows us to observe topologically robust transport of light along the frequency axis.
  arXiv  Detail & Related papers  (2022-03-21T19:11:10Z)
• Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
  We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity. For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles. In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
  arXiv  Detail & Related papers  (2021-12-22T15:27:30Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• Symmetry-resolved dynamical purification in synthetic quantum matter [1.2189422792863447]
  We show that symmetry-resolved information spreading is inhibited due to the competition of coherent and incoherent dynamics. Our work shows that symmetry plays a key role as a magnifying glass to characterize many-body dynamics in open quantum systems.
  arXiv  Detail & Related papers  (2021-01-19T19:01:09Z)
• Quasiperiodic Floquet-Thouless energy pump [0.0]
  We show that quantization of energy pumping persists for finite ramping frequencies. We show that a related phase can be realized with a cavity-qubit system driven by two incommensurate modes.
  arXiv  Detail & Related papers  (2020-10-22T07:11:24Z)
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit [58.720142291102135]
  Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties. We experimentally study a synthetic quantum Hall effect with a two-tone drive.
  arXiv  Detail & Related papers  (2020-04-07T15:00:41Z)
• Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion [57.860179997051915]
  We propose and experimentally realize all-optical synthetic dimensions involving specially tailored simultaneous short- and long-range interactions. We implement a synthetic gauge field with nonzero magnetic flux and observe the associated multidimensional dynamics of frequency combs.
  arXiv  Detail & Related papers  (2020-02-20T07:08:35Z)
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system [52.77024349608834]
  Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension. We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
  arXiv  Detail & Related papers  (2020-01-06T16:59:08Z)

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.