Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost

• URL: http://arxiv.org/abs/2205.00068v2
• Date: Fri, 8 Jul 2022 03:57:38 GMT
• Title: Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost
• Authors: Jair da Silva Andrade, \^Angelo F. da Silva Fran\c{c}a, and Bert\'ulio de Lima Bernardo
• Abstract summary: We study the problem of speeding up the population inversion of a two-level quantum system. The fidelity of the dynamics versus systematic errors in the control parameters are shown to be comparable with other STA schemes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A shortcut to adiabaticity (STA) is concerned with the fast and robust manipulation of the dynamics of a quantum system that reproduces the effect of an adiabatic process. A recently proposed method enables the generation of shortcuts from a prescribed slow dynamics by simply rescaling the time variable of the quantum evolution operator [B. L. Bernardo, Phys. Rev. Research 2, 013133 (2020)]. This time-rescaling method does not demand knowledge about the eigenvalues and eigenstates of the Hamiltonian, and in many cases no additional coupling fields. Here, we use this approach to study the problem of speeding up the population inversion of a two-level quantum system. The fidelity of the dynamics versus systematic errors in the control parameters are shown to be comparable with other STA schemes. From a quantum thermodynamic viewpoint, we also demonstrate that the main properties of the distribution of work required to drive the system along the shortcuts are unchanged with respect to the reference (slow) protocol.

Related papers

• Shortcuts to adiabaticity designed via time-rescaling follow the same transitionless route [41.94295877935867]
  Time-rescaling (TR) has been recently proposed as a method to engineer fast processes. We show that the obtained fast dynamics are transitionless, similar to the ones designed via the famous counterdiabatic (CD) approach.
  arXiv  Detail & Related papers  (2024-06-11T16:34:36Z)
• Dynamical invariant based shortcut to equilibration in open quantum systems [0.0]
  We propose using the Lewis-Riesenfeld invariant to speed-up the equilibration of a driven open quantum system. We show that our protocol can achieve a high-fidelity control in shorter timescales than simple non-optimized protocols.
  arXiv  Detail & Related papers  (2024-01-22T02:32:27Z)
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium [0.0]
  We consider the string-breaking dynamics within the Schwinger model and investigate its modification inside a thermal medium. We analyze the Liouvillian gaps of a Lindblad equation and the time dependence of the system's von Neumann entropy. We discuss how the Liouvillian dynamics of the open Schwinger model can be simulated on quantum computers.
  arXiv  Detail & Related papers  (2023-08-07T19:15:55Z)
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics [0.0]
  thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production. We review the different strategies that have been developed to realize finite-time state-to-state in both over and underdamped regimes.
  arXiv  Detail & Related papers  (2022-04-23T16:37:38Z)
• 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)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Shortcuts to Adiabaticity for Open Systems in Circuit Quantum Electrodynamics [11.231358835691962]
  We present the first experimental demonstration of shortcuts to adiabaticity (STA) for open quantum systems. We reduce the adiabatic evolution time of a single lossy mode from 800 ns to 100 ns by applying a counterdiabatic driving pulse. Our results pave the way for accelerating dynamics of open quantum systems and have potential applications in designing fast open-system protocols.
  arXiv  Detail & Related papers  (2021-07-18T11:29:14Z)
• 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)
• Fast and differentiable simulation of driven quantum systems [58.720142291102135]
  We introduce a semi-analytic method based on the Dyson expansion that allows us to time-evolve driven quantum systems much faster than standard numerical methods. We show results of the optimization of a two-qubit gate using transmon qubits in the circuit QED architecture.
  arXiv  Detail & Related papers  (2020-12-16T21:43:38Z)
• Assessment of weak-coupling approximations on a driven two-level system under dissipation [58.720142291102135]
  We study a driven qubit through the numerically exact and non-perturbative method known as the Liouville-von equation with dissipation. We propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit.
  arXiv  Detail & Related papers  (2020-11-11T22:45:57Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.