Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions

• URL: http://arxiv.org/abs/2010.05621v2
• Date: Wed, 16 Dec 2020 10:25:56 GMT
• Title: Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• Authors: Aritra Sinha, Debasis Sadhukhan, Marek M. Rams and Jacek Dziarmaga
• Abstract summary: Quenches designed with local time-dependent inhomogeneity can introduce a gap in the spectrum. We show that we get an adiabatic transition with no defects only when the inhomogeneous front moves slower than a characteristic crossover velocity. This effect can be employed for efficient adiabatic quantum state preparation in systems with long-range interactions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Driving a homogeneous system across a quantum phase transition in a quench-time $\tau_Q$ generates excitations on wavelengths longer than the Kibble-Zurek (KZ) length $\hat\xi\propto\tau_Q^{\nu/(1+z\nu)}$ within the KZ time window $\hat t\propto\tau_Q^{z\nu/(1+z\nu)}$, where $z$ and $\nu$ are the critical exponents. Quenches designed with local time-dependent inhomogeneity can introduce a gap in the spectrum. For a variety of setups with short-range interactions, they have been shown to suppress excitations if the spatial velocity of the inhomogenous front is below the characteristic KZ velocity $\hat v \propto \hat\xi/\hat t$. Ising-like models with long-range interactions can have no sonic horizon, spreading information instantaneously across the system. Usually, this should imply that inhomogenous transitions will render the dynamics adiabatic regardless of the front velocity. However, we show that we get an adiabatic transition with no defects only when the inhomogeneous front moves slower than a characteristic crossover velocity $\tilde v \propto \theta^{(z-1)\nu/(1+\nu)}$, where $\theta$ is the slope of the inhomogeneous front at the critical point. The existence of this crossover velocity and adiabaticity of the model is a consequence of the energy gap in the quasiparticle spectrum that is opened by the inhomogeneity. This effect can be employed for efficient adiabatic quantum state preparation in systems with long-range interactions.

Related papers

• Superadiabatic Landau-Zener transitions [0.0]
  Landau-Zener problem characterized by distinct paths of the instantaneous eigenstates as the system evolves in time. Superadiabatic LZ model can describe valley transition dynamics during charge and spin shuttling in semiconductor quantum dots.
  arXiv  Detail & Related papers  (2024-08-06T13:16:32Z)
• 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)
• Time-resolved quantum correlations in electronic noise [28.32223907511862]
  We demonstrate experimentally how correlations of current fluctuations at two different times $t$ and $t+tau$ depend on the shape of $V(t)$. It demonstrates the counterpart of the ac Josephson effect in superconducting junctions, to a normal, non-superconducting mesoscopic device.
  arXiv  Detail & Related papers  (2024-04-13T19:34:39Z)
• 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)
• Brownian Axion-like particles [11.498089180181365]
  We study the non-equilibrium dynamics of a pseudoscalar axion-like particle (ALP) weakly coupled to degrees of freedom in thermal equilibrium. Time evolution is determined by the in-in effective action which we obtain to leading order in the (ALP) coupling. We discuss possible cosmological consequences on structure formation, the effective number of relativistic species and birefringence of the cosmic microwave background.
  arXiv  Detail & Related papers  (2022-09-16T00:35:04Z)
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
  Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
  arXiv  Detail & Related papers  (2022-05-19T13:28:47Z)
• Phase transitions in a non-Hermitian Aubry-Andr\'e-Harper model [0.0]
  We consider a non-Hermitian extension of the Aubry-Andr'e-Harper model, in which hopping along the lattice is asymmetric. We show that the ballistic velocity can increase as $V$ is increased above zero, i.e. surprisingly disorder in the lattice can result in an enhancement of transport.
  arXiv  Detail & Related papers  (2021-02-18T08:27:10Z)
• Many-body localization and enhanced non-ergodic sub-diffusive regime in the presence of random long-range interactions [0.0]
  We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential. We demonstrate that MBL survives even for $alpha 1$ and is preceded by a broad non-ergodic sub-diffusive phase.
  arXiv  Detail & Related papers  (2020-10-23T15:38:35Z)
• 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)
• 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.