Observing quantum many-body scars in random quantum circuits

• URL: http://arxiv.org/abs/2402.06489v2
• Date: Sun, 5 May 2024 11:07:59 GMT
• Title: Observing quantum many-body scars in random quantum circuits
• Authors: Bárbara Andrade, Utso Bhattacharya, Ravindra W. Chhajlany, Tobias Graß, Maciej Lewenstein,
• Abstract summary: We devise quantum simulations to investigate the dynamics of the Schwinger model in its low dimensional form. We apply trotterization to write quantum circuits that effectively generate the evolution under the Schwinger model Hamiltonian. Our comparison of sequential and randomized circuit dynamics shows that the non-thermal sector of the Hilbert space, including the scars, are more sensitive to randomization.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Schwinger model describes quantum electrodynamics in 1+1-dimensions, it is a prototype for quantum chromodynamics, and its lattice version allows for a quantum link model description that can be simulated using modern quantum devices. In this work, we devise quantum simulations to investigate the dynamics of this model in its low dimensional form, where the gauge field degrees of freedom are described by spin 1/2 operators. We apply trotterization to write quantum circuits that effectively generate the evolution under the Schwinger model Hamiltonian. We consider both sequential circuits, with a fixed gate sequence, and randomized ones. Utilizing the correspondence between the Schwinger model and the PXP model, known for its quantum scars, we investigate the presence of quantum scar states in the Schwinger model by identifying states exhibiting extended thermalization times in our circuit evolutions. Our comparison of sequential and randomized circuit dynamics shows that the non-thermal sector of the Hilbert space, including the scars, are more sensitive to randomization.

Related papers

• Slow Relaxation in a Glassy Quantum Circuit [0.0]
  We introduce and analyze a Floquet random quantum circuit that can be tuned between glassy and fully ergodic behavior. Using an effective field theory for random quantum circuits, we analyze the correlations between quasienergy eigenstates. We show that the ramp of the spectral form factor is enhanced by a factor of the number of sectors in the glassy regime.
  arXiv  Detail & Related papers  (2024-10-30T17:58:08Z)
• Entanglement with neutral atoms in the simulation of nonequilibrium dynamics of one-dimensional spin models [0.0]
  We study the generation and role of entanglement in the dynamics of spin-1/2 models. We introduce the neutral atom Molmer-Sorensen gate, involving rapid adiabatic Rydberg dressing interleaved in a spin-echo sequence. In quantum simulation, we consider critical behavior in quench dynamics of transverse field Ising models.
  arXiv  Detail & Related papers  (2024-06-07T23:29:16Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states [0.0]
  We have developed a method to simulate quantum spin models with the Dzyaloshinskii-Moriya interaction (DMI) using Rydberg atom quantum simulators. Our approach involves a two-photon Raman transition and a transformation to the spin-rotating frame. As a model that can be simulated in our setup but not in solid-state systems, we consider an $S=frac12$ spin chain with a Hamiltonian consisting of Zeeman energy.
  arXiv  Detail & Related papers  (2023-06-08T23:34:01Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Quantum simulation using noisy unitary circuits and measurements [0.0]
  Noisy quantum circuits have become an important cornerstone of our understanding of quantum many-body dynamics. We give an overview of two classes of dynamics studied using random-circuit models, with a particular focus on the dynamics of quantum entanglement. We consider random-circuit sampling experiments and discuss the usefulness of random quantum states for simulating quantum many-body dynamics on NISQ devices.
  arXiv  Detail & Related papers  (2021-12-13T14:00:06Z)
• Sampling, rates, and reaction currents through reverse stochastic quantization on quantum computers [0.0]
  We show how to tackle the problem using a suitably quantum computer. We propose a hybrid quantum-classical sampling scheme to escape local minima.
  arXiv  Detail & Related papers  (2021-08-25T18:04:52Z)
• Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
  Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. We present an algorithm that compresses the Trotter steps into a single block of quantum gates. This results in a fixed depth time evolution for certain classes of Hamiltonians.
  arXiv  Detail & Related papers  (2021-08-06T19:38:01Z)
• 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)

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.