Exploring thermal equilibria of the Fermi-Hubbard model with variational quantum algorithms

• URL: http://arxiv.org/abs/2312.09292v2
• Date: Thu, 13 Jun 2024 12:58:49 GMT
• Title: Exploring thermal equilibria of the Fermi-Hubbard model with variational quantum algorithms
• Authors: Jack Y. Araz, Michael Spannowsky, Matthew Wingate,
• Abstract summary: This study investigates the thermal properties of the repulsive Fermi-Hubbard model with chemical potential. Our study demonstrates the potential of variational algorithms in simulating the thermal properties of the Fermi-Hubbard model.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This study investigates the thermal properties of the repulsive Fermi-Hubbard model with chemical potential using variational quantum algorithms, crucial in comprehending particle behaviour within lattices at high temperatures in condensed matter systems. Conventional computational methods encounter challenges, especially in managing chemical potential, prompting exploration into Hamiltonian approaches. Despite the promise of quantum algorithms, their efficacy is hampered by coherence limitations when simulating extended imaginary time evolution sequences. To overcome such constraints, this research focuses on optimising variational quantum algorithms to probe the thermal properties of the Fermi-Hubbard model. Physics-inspired circuit designs are tailored to alleviate coherence constraints, facilitating a more comprehensive exploration of materials at elevated temperatures. Our study demonstrates the potential of variational algorithms in simulating the thermal properties of the Fermi-Hubbard model while acknowledging limitations stemming from error sources in quantum devices and encountering barren plateaus.

Related papers

• Quantum Computing for Phonon Scattering Effects on Thermal Conductivity [0.0]
  Multi-phonon scattering processes substantially influence the thermal conductivity of materials. This study examines the potential of quantum simulations to address these challenges. We construct the system within Fock space using bosonic operators and transform the Hamiltonian into the sum of Pauli operators suitable for quantum computation.
  arXiv  Detail & Related papers  (2024-07-22T17:20:51Z)
• 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)
• Study on quantum thermalization from thermal initial states in a superconducting quantum computer [0.0]
  We propose a method to address the problem of preparing thermal states in quantum physics. We experimentally validate our approach using IBM quantum devices, providing results for unusal relaxation in quenches as predicted for the IBM qubit. This demonstration underscores that our method can streamline the investigation of thermal states and thermalization in quantum physics.
  arXiv  Detail & Related papers  (2024-01-16T09:01:01Z)
• Simulating prethermalization using near-term quantum computers [1.2189422792863451]
  We propose an experimental protocol for probing dynamics and equilibrium properties on near-term digital quantum computers. We show that it is possible to study thermalization even with a relatively coarse Trotter decomposition of the Hamiltonian evolution of interest.
  arXiv  Detail & Related papers  (2023-03-15T09:04:57Z)
• 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)
• Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing [58.720142291102135]
  We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
  arXiv  Detail & Related papers  (2022-03-28T14:55:28Z)
• Quantum Simulation of Chiral Phase Transitions [62.997667081978825]
  We construct a quantum simulation for the $(+1)$ dimensional NJL model at finite temperature and finite chemical potential. We observe consistency among digital quantum simulation, exact diagonalization, and analytical solution, indicating further applications of quantum computing in simulating QCD thermodynamics.
  arXiv  Detail & Related papers  (2021-12-07T19:04:20Z)
• Thermal variational quantum simulation on a superconducting quantum processor [15.94135317202682]
  We present experiments to demonstrate a hybrid quantum-classical simulation of thermal quantum states. By combining a classical probabilistic model and a 5-qubit programmable superconducting quantum processor, we prepare Gibbs states and excited states of Heisenberg XY and XXZ models. We show that the approach is scalable in the number of qubits, and has a self-verifiable feature, revealing its potentials in solving large-scale quantum statistical mechanics problems.
  arXiv  Detail & Related papers  (2021-07-13T16:37:54Z)
• Accurate simulation and thermal tuning by temperature-adaptive boundary interactions on quantum many-body systems [2.13230439190003]
  We propose the temperature-adaptive entanglement simulator (TAES) that mimics and tunes the thermodynamics of the one-dimensional (1D) many-body system. With the benchmark on 1D spin chains, TAES surpasses the state-of-the-art accuracy compared with the existing finite-temperature approaches.
  arXiv  Detail & Related papers  (2021-04-30T15:21:06Z)
• 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)
• 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.