Spatiotemporal Quenches for Efficient Critical Ground State Preparation in Two-Dimensional Quantum Systems

• URL: http://arxiv.org/abs/2404.02957v1
• Date: Wed, 3 Apr 2024 18:00:01 GMT
• Title: Spatiotemporal Quenches for Efficient Critical Ground State Preparation in Two-Dimensional Quantum Systems
• Authors: Simon Bernier, Kartiek Agarwal,
• Abstract summary: We show the effectiveness of quenches in rapidly preparing ground states in critical phases. Our simulations reveal the existence of an optimal quench front velocity at the emergent speed of light. These findings emphasize the potential of quenchtemporal quenches efficient ground state preparation in quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum simulators have the potential to shed light on the study of quantum many-body systems and materials, offering unique insights into various quantum phenomena. While adiabatic evolution has been conventionally employed for state preparation, it faces challenges when the system evolves too quickly or the coherence time is limited. In such cases, shortcuts to adiabaticity, such as spatiotemporal quenches, provide a promising alternative. This paper numerically investigates the application of spatiotemporal quenches in the two-dimensional transverse field Ising model with ferromagnetic interactions, focusing on the emergence of the ground state and its correlation properties at criticality when the gap vanishes. We demonstrate the effectiveness of these quenches in rapidly preparing ground states in critical systems. Our simulations reveal the existence of an optimal quench front velocity at the emergent speed of light, leading to minimal excitation energy density and correlation lengths of the order of finite system sizes we can simulate. These findings emphasize the potential of spatiotemporal quenches for efficient ground state preparation in quantum systems, with implications for the exploration of strongly correlated phases and programmable quantum computing.

Related papers

• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics [0.0]
  We show a kinetically constrained many-body quantum system that has a natural implementation on Rydberg quantum simulators. Despite featuring an uncorrelated infinite-temperature average stationary state, the dynamics displays coexistence of fast and slow space-time regions. Our work establishes the large deviation framework for discrete-time open quantum many-body systems as a means to characterize complex dynamics and collective phenomena in quantum processors and simulators.
  arXiv  Detail & Related papers  (2024-08-19T10:24:07Z)
• 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)
• Persisting quantum effects in the anisotropic Rabi model at thermal equilibrium [0.0]
  We study the long-lived quantum correlations and nonclassical states generated in the anisotropic Rabi model. We demonstrate a stark distinction between virtual excitations produced beyond the strong coupling regime and the quantumness quantifiers once the light-matter interaction has been switched off.
  arXiv  Detail & Related papers  (2023-09-05T10:59:32Z)
• Maximizing temporal quantum correlation by approaching an exceptional point [11.501461337998974]
  A big breakthrough in quantum physics is its complex extension to the non-Hermitian realm. Unique features of non-Hermitian quantum correlations, especially in the time domain, still remain to be explored. For the first time, we experimentally achieve this goal by using a parity-time (PT )-symmetric trapped-ion system.
  arXiv  Detail & Related papers  (2023-04-13T14:54:09Z)
• Measurement of the energy relaxation time of quantum states in quantum annealing with a D-Wave machine [0.0]
  We propose and demonstrate a method to measure the coherence time of the excited state in quantum annealing with the D-Wave device. We find that the energy relaxation time of the excited states of the model is orders of magnitude longer than that of the excited state of a single qubit.
  arXiv  Detail & Related papers  (2023-02-21T07:29:23Z)
• 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)
• 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)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Simulation of adiabatic quantum computing for molecular ground states [0.0]
  We explore a novel approach for simulating the time dynamics of Adiabatic state preparation (ASP) We use this new approach to simulate ASP for sets of small molecular systems and Hubbard models. We find that the required state preparation times do not show an immediate exponential wall that would preclude an efficient run of ASP on actual hardware.
  arXiv  Detail & Related papers  (2021-03-22T17:59:08Z)
• Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
  Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems. We propose an algorithm to implement imaginary time propagation on a quantum computer.
  arXiv  Detail & Related papers  (2021-02-24T12:48:00Z)
• Bridging the Gap Between the Transient and the Steady State of a Nonequilibrium Quantum System [58.720142291102135]
  Many-body quantum systems in nonequilibrium remain one of the frontiers of many-body physics. Recent work on strongly correlated electrons in DC electric fields illustrated that the system may evolve through successive quasi-thermal states. We demonstrate an extrapolation scheme that uses the short-time transient calculation to obtain the retarded quantities.
  arXiv  Detail & Related papers  (2021-01-04T06:23:01Z)

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.