Fast and direct preparation of a genuine lattice BEC via the quantum Mpemba effect
- URL: http://arxiv.org/abs/2504.05549v2
- Date: Tue, 03 Jun 2025 10:26:41 GMT
- Title: Fast and direct preparation of a genuine lattice BEC via the quantum Mpemba effect
- Authors: Philipp Westhoff, Sebastian Paeckel, Mattia Moroder,
- Abstract summary: We present an efficient method for dissipatively preparing a Bose-Einstein condensate (BEC) directly on a lattice.<n>Our protocol is based on driving the lattice-subsystem into a non-equilibrium steady state.<n>We analytically identify a class of simple, experimentally-realizable states that converge exponentially faster to the steady state.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present an efficient method for dissipatively preparing a Bose-Einstein condensate (BEC) directly on a lattice, avoiding the need for a two-staged preparation procedure currently used in ultracold-atom platforms. Our protocol is based on driving the lattice-subsystem into a non-equilibrium steady state, which we show to exhibit a lattice analog of a true BEC, where the depletion can be controlled via the dissipation strength. Furthermore, exploiting a symmetry-based Mpemba effect, we analytically identify a class of simple, experimentally-realizable states that converge exponentially faster to the steady state than typical random initializations. We also show how to tune the momentum of the created high-fidelity BEC by combining superfluid immersion with lattice shaking. Our theoretical predictions are confirmed by numerical simulations of the dissipative dynamics. This protocol paves the way to unlock the enormous potential of a dissipative preparation of highly entangled states in analog quantum simulators.
Related papers
- Computing Canonical Averages with Quantum and Classical Optimizers: Thermodynamic Reweighting for QUBO Models of Physical Systems [0.0]
We introduce a histogram reweighting scheme applicable to QUBO-based sampling constrained to specific intervals of an order parameter, e.g., physical energy.
We demonstrate that the scheme can accurately recover the density of states, which in turn allows for calculating expectation values in the conjugate ensemble.
The method can thus be used to advance the state-of-the-art characterization of physical systems that admit a QUBO-based representation and that are otherwise intractable with real-space sampling methods.
arXiv Detail & Related papers (2025-04-09T17:59:32Z) - Lindblad engineering for quantum Gibbs state preparation under the eigenstate thermalization hypothesis [0.4040782475977877]
We show that a simplified protocol for quantum Gibbs state preparation algorithms is efficient under the eigenstate thermalization hypothesis (ETH)<n>We show that the realized Lindblad algorithm exhibits an inherent resilience against noise, opening up the path to a first demonstration on quantum computers.<n>This work bridges the gap between recent theoretical advances in dissipative Gibbs state preparation algorithms and their eventual quantum hardware implementation.
arXiv Detail & Related papers (2024-12-23T16:35:12Z) - Simulating Neutron Scattering on an Analog Quantum Processor [0.0]
We present a method for simulating neutron scattering on QuEra's Aquila processor.
We provide numerical simulations and experimental results for the performance of the procedure on the hardware.
We also confirm bipartite entanglement in the system experimentally.
arXiv Detail & Related papers (2024-10-04T22:39:29Z) - 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) - Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice [2.5688929644662926]
In noisy quantum systems, achieving high-fidelity state preparation using the adiabatic approach faces a dilemma.
We present a quantum shortcut to adiabaticity for state preparation in a finite-sized Jaynes-Cummings lattice by applying counter-diabatic (CD) driving.
arXiv Detail & Related papers (2024-02-19T19:44:45Z) - Speeding Up Squeezing with a Periodically Driven Dicke Model [0.0]
We present a simple and effective method to create highly entangled spin states on a faster timescale than that of the commonly employed one-axis twisting (OAT) model.
We demonstrate that by periodically driving the Dicke Hamiltonian at a resonance frequency, the system effectively becomes a two-axis countertwisting Hamiltonian which is known to quickly create Heisenberg limit scaled entangled states.
arXiv Detail & Related papers (2023-10-11T17:39:17Z) - Dissipative preparation and stabilization of many-body quantum states in
a superconducting qutrit array [55.41644538483948]
We present and analyze a protocol for driven-dissipatively preparing and stabilizing a manifold of quantum manybody entangled states.
We perform theoretical modeling of this platform via pulse-level simulations based on physical features of real devices.
Our work shows the capacity of driven-dissipative superconducting cQED systems to host robust and self-corrected quantum manybody states.
arXiv Detail & Related papers (2023-03-21T18:02:47Z) - Importance sampling for stochastic quantum simulations [68.8204255655161]
We introduce the qDrift protocol, which builds random product formulas by sampling from the Hamiltonian according to the coefficients.
We show that the simulation cost can be reduced while achieving the same accuracy, by considering the individual simulation cost during the sampling stage.
Results are confirmed by numerical simulations performed on a lattice nuclear effective field theory.
arXiv Detail & Related papers (2022-12-12T15:06:32Z) - 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) - Posterior Coreset Construction with Kernelized Stein Discrepancy for
Model-Based Reinforcement Learning [78.30395044401321]
We develop a novel model-based approach to reinforcement learning (MBRL)
It relaxes the assumptions on the target transition model to belong to a generic family of mixture models.
It can achieve up-to 50 percent reduction in wall clock time in some continuous control environments.
arXiv Detail & Related papers (2022-06-02T17:27:49Z) - Quantum simulation and ground state preparation for the honeycomb Kitaev
model [23.87373187143897]
We propose a quantum protocol that allows preparing a ground state (GS) of the honeycomb Kitaev model.
We demonstrate the high fidelity preparation of spin liquid ground states for the original Kitaev model.
We then extend the variational procedure to non-zero magnetic fields, studying observables and correlations that reveal the phase transition.
arXiv Detail & Related papers (2021-09-28T17:13:53Z) - Dissipative preparation of fractional Chern insulators [3.3234256205258084]
We show how Laughlin states can be to good approximation prepared in a dissipative fashion from arbitrary initial states.
We observe a certain robustness regarding the overlap of the steady state with fractional quantum Hall states for experimentally well-controlled flux densities.
arXiv Detail & Related papers (2021-08-23T18:00:02Z) - 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) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z)
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.