Periodically driven Rydberg chains with staggered detuning

• URL: http://arxiv.org/abs/2112.14791v1
• Date: Wed, 29 Dec 2021 19:04:07 GMT
• Title: Periodically driven Rydberg chains with staggered detuning
• Authors: Bhaskar Mukherjee, Arnab Sen, and K. Sengupta
• Abstract summary: 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 $omega_D
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the stroboscopic dynamics of a periodically driven finite Rydberg chain with staggered ($\Delta$) and time-dependent uniform ($\lambda(t)$) detuning terms using exact diagonalization (ED). We show that at intermediate drive frequencies ($\omega_D$), the presence of a finite $\Delta$ results in violation of the eigenstate thermalization hypothesis (ETH) via clustering of Floquet eigenstates. Such clustering is lost at special commensurate drive frequencies for which $\hbar \omega_d=n \Delta$ ($n \in Z$) leading to restoration of ergodicity. 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 $\omega_D$. Such a correlator exhibits stable oscillations with perfect revivals when driven close to the freezing frequencies for initial all spin-down ($|0\rangle$) or Neel ($|{\mathbb Z}_2\rangle$, with up-spins on even sites) states. The amplitudes of these oscillations vanish at the freezing frequencies and reduces upon increasing $\Delta$; their frequencies, however, remains pinned to $\Delta/\hbar$ in the large $\Delta$ limit. In contrast, for the $|{\bar {\mathbb Z}_2}\rangle$ (time-reversed partner of $|{\mathbb Z}_2\rangle$) initial state, we find complete absence of such oscillations leading to freezing for a range of $\omega_D$; this range increases with $\Delta$. We also study the properties of quantum many-body scars in the Floquet spectrum of the model as a function of $\Delta$ and show the existence of novel mid-spectrum scars at large $\Delta$. We supplement our numerical results with those from an analytic Floquet Hamiltonian computed using Floquet perturbation theory (FPT) and also provide a semi-analytic computation of the quantum scar states within a forward scattering approximation (FSA).

Related papers

• Scar-induced imbalance in staggered Rydberg ladders [0.0]
  We show that the kinematically-constrained model of Rydberg atoms on a two-leg ladder with staggered detuning has quantum many-body scars (QMBS) in its spectrum. QMBS result in coherent many-body revivals and site-dependent magnetization dynamics for both N'eel and Rydberg vacuum initial states around $Delta=1$.
  arXiv  Detail & Related papers  (2024-11-04T19:00:02Z)
• Unifying Floquet theory of longitudinal and dispersive readout [33.7054351451505]
  We devise a Floquet theory of longitudinal and dispersive readout in circuit QED. We apply them to superconducting and spin-hybrid cQED systems.
  arXiv  Detail & Related papers  (2024-07-03T18:00:47Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
  We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
  arXiv  Detail & Related papers  (2024-05-27T16:11:39Z)
• Measurement-induced phase transition for free fermions above one dimension [46.176861415532095]
  Theory of the measurement-induced entanglement phase transition for free-fermion models in $d>1$ dimensions is developed. Critical point separates a gapless phase with $elld-1 ln ell$ scaling of the second cumulant of the particle number and of the entanglement entropy.
  arXiv  Detail & Related papers  (2023-09-21T18:11:04Z)
• Entanglement transitions in a periodically driven non-Hermitian Ising chain [0.0]
  We study entanglement transitions in a periodically driven Ising chain in the presence of an imaginary transverse field $gamma$. In the high drive amplitude and frequency regime, we find a critical value $gamma=gamma_c$ below which the steady state half-chain entanglement entropy, $S_L/2$, scales with chain length $L$ as $S_L/2 sim ln L$.
  arXiv  Detail & Related papers  (2023-09-14T12:25:45Z)
• Weak universality, quantum many-body scars and anomalous infinite-temperature autocorrelations in a one-dimensional spin model with duality [0.0]
  We study a one-dimensional spin-$1/2$ model with three-spin interactions and a transverse magnetic field $h$. We compute the critical exponents $z$, $beta$, $gamma$ and $nu$, and the central charge $c$. For a system with periodic boundary conditions, there are an exponentially large number of exact mid-spectrum zero-energy eigenstates.
  arXiv  Detail & Related papers  (2023-07-20T18:00:05Z)
• Magnetic excitations, non-classicality and quantum wake spin dynamics in the Hubbard chain [0.0]
  Quantum Fisher information (QFI) is a witness of multipartite entanglement, and magnetic Van Hove correlations $G(r,t)$, a probe of local real-space real-time spin dynamics. We show that QFI grows with $U$ and can witness bipartite entanglement above $U=2.5$. We discuss experimental candidates for observing the $G(r,t)$ dynamics found at low $U$.
  arXiv  Detail & Related papers  (2022-03-12T03:48:21Z)
• Anharmonic oscillator: a solution [77.34726150561087]
  The dynamics in $x$-space and in $(gx)-space corresponds to the same energy spectrum with effective coupling constant $hbar g2$. A 2-classical generalization leads to a uniform approximation of the wavefunction in $x$-space with unprecedented accuracy.
  arXiv  Detail & Related papers  (2020-11-29T22:13:08Z)
• 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)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.