Prethermal stability of eigenstates under high frequency Floquet driving

• URL: http://arxiv.org/abs/2306.16716v2
• Date: Fri, 22 Mar 2024 04:17:41 GMT
• Title: Prethermal stability of eigenstates under high frequency Floquet driving
• Authors: Nicholas O'Dea, Fiona Burnell, Anushya Chandran, Vedika Khemani,
• Abstract summary: We show that local observables can decay much faster via energy conserving processes. We present a two-channel theory describing the fidelity decay time $tau_rm f$. Our work informs the robustness of experimental approaches for using Floquet engineering to generate interesting many-body Hamiltonians.
• Score: 0.025206105035672277
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Systems subject to high-frequency driving exhibit Floquet prethermalization, that is, they heat exponentially slowly on a time scale that is large in the drive frequency, $\tau_{\rm h} \sim \exp(\omega)$. Nonetheless, local observables can decay much faster via energy conserving processes, which are expected to cause a rapid decay in the fidelity of an initial state. Here we show instead that the fidelities of eigenstates of the time-averaged Hamiltonian, $H_0$, display an exponentially long lifetime over a wide range of frequencies -- even as generic initial states decay rapidly. When $H_0$ has quantum scars, or highly excited-eigenstates of low entanglement, this leads to long-lived non-thermal behavior of local observables in certain initial states. We present a two-channel theory describing the fidelity decay time $\tau_{\rm f}$: the interzone channel causes fidelity decay through energy absorption i.e. coupling across Floquet zones, and ties $\tau_{\rm f}$ to the slow heating time scale, while the intrazone channel causes hybridization between states in the same Floquet zone. Our work informs the robustness of experimental approaches for using Floquet engineering to generate interesting many-body Hamiltonians, with and without scars.

Related papers

• Robust effective ground state in a nonintegrable Floquet quantum circuit [0.0]
  We study the initial state dependence of Floquet heating in a nonintegrable kicked Ising chain of length up to $L=30$ with an efficient quantum circuit simulator. Our finding paves the way for engineering Floquet protocols with finite driving periods realizing long-lived, or possibly even perpetual, Floquet phases by initial state design.
  arXiv  Detail & Related papers  (2023-11-27T19:00:00Z)
• Spatiotemporal Quenches in Long-Range Hamiltonians [0.0]
  We study the fate of Stemporal quenches in models with a fixed velocity $v$ for the propagation of the quench front. We show that optimal cooling is achieved when the front velocity $v$ approaches $c$, the effective speed of excitations in the critical model.
  arXiv  Detail & Related papers  (2022-12-14T20:40:24Z)
• Periodically driven Rydberg chains with staggered detuning [0.0]
  We study the stroboscopic dynamics of a driven finite Rydberg chain with staggered ($Delta$) and time-dependent uniform ($lambda(t)$) detuning terms using exact diagonalization (ED) We show that at intermediate drive ($omega_D$), the presence of a finite $Delta$ results in violation of the eigenstate thermalization hypothesis (ETH) via clustering of Floquet eigenstates. The violation of ETH in these driven finite-sized chains is also evident from the dynamical freezing displayed by the density density correlation function at specific $omega_D
  arXiv  Detail & Related papers  (2021-12-29T19:04:07Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Prethermalization, thermalization, and Fermi's golden rule in quantum many-body systems [0.3921666708205728]
  We study the prethermalization and thermalization dynamics of local observables in weakly perturbed nonintegrable systems. We show that the slow thermalizing dynamics is characterized by a rate $propto g2$, which can be accurately determined using a Fermi golden rule (FGR) equation.
  arXiv  Detail & Related papers  (2021-09-03T18:48:55Z)
• 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)
• 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)
• Floquet prethermalization with lifetime exceeding 90s in a bulk hyperpolarized solid [43.55994393060723]
  We observe long-lived Floquet prethermal states in a bulk solid composed of dipolar-coupled $13$C nuclei in diamond at room temperature. For precessing nuclear spins prepared in an initial transverse state, we demonstrate pulsed spin-lock Floquet control.
  arXiv  Detail & Related papers  (2021-04-05T16:31:02Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Dynamics of the vacuum state in a periodically driven Rydberg chain [0.0]
  We study the dynamics of the periodically driven Rydberg chain starting from the state with zero Rydberg excitations. We show that the Floquet Hamiltonian of the system, within a range of drive frequencies, hosts a set of quantum scars.
  arXiv  Detail & Related papers  (2020-05-15T18:00:03Z)
• 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.