Topological edge modes without symmetry in quasiperiodically driven spin chains

• URL: http://arxiv.org/abs/2009.03314v1
• Date: Mon, 7 Sep 2020 18:00:00 GMT
• Title: Topological edge modes without symmetry in quasiperiodically driven spin chains
• Authors: Aaron J. Friedman, Brayden Ware, Romain Vasseur, Andrew C. Potter
• Abstract summary: We argue that EDSPTs are special to the quasiperiodically driven setting, and cannot arise in Floquet systems. We find evidence of a new type of boundary criticality, in which the edge spin dynamics transition from quasiperiodic to chaotic.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We construct an example of a 1$d$ quasiperiodically driven spin chain whose edge states can coherently store quantum information, protected by a combination of localization, dynamics, and topology. Unlike analogous behavior in static and periodically driven (Floquet) spin chains, this model does not rely upon microscopic symmetry protection: Instead, the edge states are protected purely by emergent dynamical symmetries. We explore the dynamical signatures of this Emergent Dynamical Symmetry-Protected Topological (EDSPT) order through exact numerics, time evolving block decimation, and analytic high-frequency expansion, finding evidence that the EDSPT is a stable dynamical phase protected by bulk many-body localization up to (at least) stretched-exponentially long time scales, and possibly beyond. We argue that EDSPTs are special to the quasiperiodically driven setting, and cannot arise in Floquet systems. Moreover, we find evidence of a new type of boundary criticality, in which the edge spin dynamics transition from quasiperiodic to chaotic, leading to bulk thermalization.

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)
• Interacting quasiperiodic spin chains in the prethermal regime [0.0]
  We re-examine a reported non-ergodic extended (NEE) regime in the interacting quasiperiodic Ganeshan-Pixley-Das Sarma model. We show that the NEE phenomenology also occurs in random models with deep wells but with no mobility edges, and does not occur in quasiperiodic models with mobility edges but with no deep wells.
  arXiv  Detail & Related papers  (2024-05-02T18:00:00Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• 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)
• Subradiant edge states in an atom chain with waveguide-mediated hopping [0.0]
  We analyze a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce excitation hopping. We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger model. We analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size.
  arXiv  Detail & Related papers  (2022-05-27T09:35:49Z)
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
  Inherent symmetry of a quantum system may protect its otherwise fragile states. We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry. MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
  arXiv  Detail & Related papers  (2022-04-24T22:34:15Z)
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
  We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
  arXiv  Detail & Related papers  (2021-05-28T12:13:14Z)
• Quantum scars and bulk coherence in a symmetry-protected topological phase [0.0]
  We show the existence of many-body scars and their implications on bulk coherence in certain protected topological (SPT) phases. We show that eigenstates with volume-law entanglement coexist with area-law entangled eigenstates throughout the spectrum. Our work sheds light on the role of quantum many-body scars in preserving SPT order at finite temperature and the possibility of coherent bulk dynamics in models with SPT order beyond the existence of long-lived edge modes.
  arXiv  Detail & Related papers  (2021-03-29T18:35:35Z)
• Topological and dynamical features of periodically driven spin ladders [0.0]
  We study periodically driven spin ladders as clean quasi-one-dimensional systems with spin-spin interaction in the rung direction. We find that such systems display subharmonic magnetization dynamics reminiscent to that of discrete time crystals (DTCs) at finite system sizes. Special emphasis is placed on how the coupling in the rung direction of the ladder prevents degeneracy from occurring between states differing by a single spin excitation.
  arXiv  Detail & Related papers  (2020-12-07T04:12:59Z)
• Self-consistent theory of mobility edges in quasiperiodic chains [62.997667081978825]
  We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. mobility edges are generic in quasiperiodic systems which lack the energy-independent self-duality of the commonly studied Aubry-Andr'e-Harper model.
  arXiv  Detail & Related papers  (2020-12-02T19:00:09Z)
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions [72.46695228124449]
  We study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing. We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior.
  arXiv  Detail & Related papers  (2020-06-24T07:32:51Z)

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.