Floquet engineering topological Dirac bands

• URL: http://arxiv.org/abs/2202.05033v1
• Date: Thu, 10 Feb 2022 13:42:34 GMT
• Title: Floquet engineering topological Dirac bands
• Authors: Mingwu Lu, G. H. Reid, A. R. Fritsch, A. M. Pi\~neiro, I. B. Spielman
• Abstract summary: We experimentally realized a time-periodically modulated 1D lattice for ultracold atoms featuring a pair of linear bands. These bands are spin-momentum locked and almost perfectly linear everywhere in the Brillouin zone.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We experimentally realized a time-periodically modulated 1D lattice for ultracold atoms featuring a pair of linear bands, each associated with a Floquet winding number: a topological invariant. These bands are spin-momentum locked and almost perfectly linear everywhere in the Brillouin zone (BZ), making this system a near-ideal realization of the 1D Dirac Hamiltonian. We characterized the Floquet winding number using a form of quantum state tomography, covering the BZ and following the micromotion through one Floquet period. Lastly, we altered the modulation timing to lift the topological protection, opening a gap at the Dirac point that grew in proportion to the deviation from the topological configuration.

Related papers

• Gapless higher-order topology and corner states in Floquet systems [3.40981020092183]
  We analytically characterize and numerically demonstrate the zero and $pi$ corner modes that could emerge at the critical points between different Floquet HOTPs. Our work reveals the possibility of corner modes surviving topological transitions in Floquet systems.
  arXiv  Detail & Related papers  (2025-01-14T14:45:07Z)
• Anomalous wave-packet transport on boundaries of Floquet topological systems [3.838157665823076]
  We study the dynamics of a Gaussian wave packet placed at the boundary of a two-dimensional driven system with zero winding numbers. We find that the edge states at different valleys in the $pi$ gap can hybridize and form bowtie-shaped edge bands fully detached from the bulk.
  arXiv  Detail & Related papers  (2024-12-03T02:13:38Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Engineering, control and longitudinal readout of Floquet qubits [105.9098786966493]
  Time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Here, we use the framework of many-mode Floquet theory to describe approaches to robustly control Floquet qubits in the presence of multiple drive tones. Following the same approach, we introduce a longitudinal readout protocol to measure the Floquet qubit without the need of first adiabatically mapping back the Floquet states to the static qubit states.
  arXiv  Detail & Related papers  (2021-08-25T14:35:02Z)
• High-frequency expansions for time-periodic Lindblad generators [68.8204255655161]
  Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian. We show that the emerging non-Markovianity of the Floquet generator can entirely be attributed to the micromotion of the open driven system.
  arXiv  Detail & Related papers  (2021-07-21T12:48:39Z)
• Floquet higher-order topological phases in momentum space [0.0]
  Higher-order topological phases (HOTPs) are characterized by symmetry-protected bound states at the corners or hinges of the system. In this work, we reveal a momentum-space counterpart of HOTPs in time-periodic driven systems.
  arXiv  Detail & Related papers  (2020-12-02T08:26:10Z)
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators [2.3978553352626064]
  We report a ubiquitous presence of topological Floquet time crystal (TFTC) in one-dimensional periodically-driven systems. Our modeling of the time-crystalline 'ground state' can be easily realized in experimental platforms such as topological photonics and ultracold fields.
  arXiv  Detail & Related papers  (2020-05-08T09:20:57Z)
• Unified theory to characterize Floquet topological phases by quench dynamics [6.496235214212858]
  We propose a unified theory based on quantum quenches to characterize generic $d$-dimensional ($d$D) Floquet topological phases. For a $d$D phase which is initially static and trivial, we introduce the quench dynamics by suddenly turning on the periodic driving. This prediction provides a simple and unified characterization, in which one can not only extract the number of conventional and anomalous Floquet boundary modes, but also identify the topologically protected singularities in the phase bands.
  arXiv  Detail & Related papers  (2020-04-29T08:18:22Z)
• Bulk detection of time-dependent topological transitions in quenched chiral models [48.7576911714538]
  We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction. This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
  arXiv  Detail & Related papers  (2020-01-16T17:44:52Z)

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.