Emergent strong zero mode through local Floquet engineering

• URL: http://arxiv.org/abs/2306.01835v1
• Date: Fri, 2 Jun 2023 18:00:03 GMT
• Title: Emergent strong zero mode through local Floquet engineering
• Authors: Bhaskar Mukherjee, Ronald Melendrez, Marcin Szyniszewski, Hitesh J. Changlani, Arijeet Pal
• Abstract summary: Floquet prethermalization and dynamical freezing of certain observables are realized by controlling the drive frequency. These dynamical regimes can be leveraged to construct quantum memories and have potential applications in quantum information processing.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Periodically driven quantum systems host exotic phenomena which often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence of conservation laws, are realized by controlling the drive frequency. These dynamical regimes can be leveraged to construct quantum memories and have potential applications in quantum information processing. Solid state and cold atom experimental architectures have opened avenues for implementing local Floquet engineering which can achieve spatially modulated quantum control of states. Here, we uncover the novel memory effects of local periodic driving in a nonintegrable spin-half staggered Heisenberg chain. For a boundary-driven protocol at the dynamical freezing frequency, we show the formation of an approximate strong zero mode, a prethermal quasi-local operator, due to the emergence of a discrete global $\mathbb{Z}_2$ symmetry. This is captured by constructing an accurate effective Floquet Hamiltonian using a higher-order partially resummed Floquet-Magnus expansion. The lifetime of the boundary spin can be exponentially enhanced by enlarging the set of suitably chosen driven sites. We demonstrate that in the asymptotic limit, achieved by increasing the number of driven sites, a strong zero mode emerges, where the lifetime of the boundary spin grows exponentially with system size. The non-local processes in the Floquet Hamiltonian play a pivotal role in the total freezing of the boundary spin in the thermodynamic limit. The novel dynamics of the boundary spin is accompanied by a rich structure of entanglement in the Floquet eigenstates where specific bipartitions yield an area-law scaling while the entanglement for random bipartitions scales as a volume-law.

Related papers

• Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain [0.0]
  Kinetically constrained spin chains serve as a prototype for structured ergodicity breaking in isolated quantum systems. We show that such a system exhibits a hierarchy of degenerate steady states when driven by incoherent pump and loss at the boundary.
  arXiv  Detail & Related papers  (2024-11-05T18:03:02Z)
• Floquet engineering of interactions and entanglement in periodically driven Rydberg chains [0.0]
  We introduce a new Floquet engineering technique for systems in the Rydberg blockade regime. We show how our method can be used to engineer strong spin exchange, consistent with the blockade, in a one-dimensional chain. In addition, we demonstrate that combining gapless excitations with Rydberg blockade can lead to dynamic generation of large-scale multi-partite entanglement.
  arXiv  Detail & Related papers  (2024-08-05T18:01:01Z)
• Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
  We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom. These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
  arXiv  Detail & Related papers  (2024-06-26T18:27:15Z)
• A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories [44.99833362998488]
  Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators. We present a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $mathbbZ$ LGT. We show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques.
  arXiv  Detail & Related papers  (2023-11-28T13:01:24Z)
• Counterdiabatic Driving for Periodically Driven Systems [0.0]
  Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems. We develop a technique to capture nonperturbative photon resonances and obtain high-fidelity protocols.
  arXiv  Detail & Related papers  (2023-10-04T11:08:19Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Dynamical singularity of the rate function for quench dynamics in finite-size quantum systems [1.2514666672776884]
  We study the realization of the dynamical singularity of the rate function for finite-size systems under the twist boundary condition. We show that exact zeros of the Loschmidt echo can be always achieved when the postquench parameter is across the underlying equilibrium phase transition point.
  arXiv  Detail & Related papers  (2022-11-06T14:35:57Z)
• Kinetically Constrained Quantum Dynamics in Superconducting Circuits [0.7734726150561088]
  We study the dynamical properties of the bosonic quantum East model at low temperature. We show that quantum information remains localized within decoherence times tunable with the parameters of the system. We propose an implementation of the bosonic quantum East model based on state-of-the-art superconducting circuits.
  arXiv  Detail & Related papers  (2021-12-15T19:00:02Z)
• 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)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• 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.