Efficient Fermi-Hubbard model ground-state preparation by coupling to a classical reservoir in the instantaneous-response limit

• URL: http://arxiv.org/abs/2501.13862v1
• Date: Thu, 23 Jan 2025 17:33:21 GMT
• Title: Efficient Fermi-Hubbard model ground-state preparation by coupling to a classical reservoir in the instantaneous-response limit
• Authors: Zekun He, A. F. Kemper, J. K. Freericks,
• Abstract summary: We propose an approach for ground state preparation of interacting models by involving a classical reservoir. We can engineer the coupling to rapidly drive the system from an initial product state to its interacting ground state. This ansatz closely resembles the Hamiltonian variational ansatz, offering a fresh perspective on it.
• Score: 0.3500606062315213
• License:
• Abstract: Preparing the ground state of the Fermi-Hubbard model is challenging, in part due to the exponentially large Hilbert space, which complicates efficiently finding a path from an initial state to the ground state using the variational principle. In this work, we propose an approach for ground state preparation of interacting models by involving a classical reservoir, simplified to the instantaneous-response limit, which can be described using a Hamiltonian formalism. The resulting time evolution operator consist of spin-adapted nearest-neighbor hopping and on-site interaction terms similar to those in the Hubbard model, without expanding the Hilbert space. We can engineer the coupling to rapidly drive the system from an initial product state to its interacting ground state by numerically minimizing the final state energy. This ansatz closely resembles the Hamiltonian variational ansatz, offering a fresh perspective on it.

Related papers

• From Heisenberg to Hubbard: An initial state for the shallow quantum simulation of correlated electrons [0.0]
  We propose a three-step deterministic quantum routine to prepare an educated guess of the ground state of the Fermi-Hubbard model. First, the ground state of the Heisenberg model is suitable for near-term quantum hardware. Second, a general method is devised to convert a multi-spin-$frac12$ wave function into its fermionic version.
  arXiv  Detail & Related papers  (2023-10-25T17:05:50Z)
• Fixing detailed balance in ancilla-based dissipative state engineering [0.48379436447082086]
  Dissipative state engineering is a term for a protocol which prepares the ground state of a Hamiltonian using engineered dissipation or engineered environments. We argue that this approach has an intrinsic limitation because the ancillas, seen as an effective bath by the system in the weak-coupling limit, do not give the detailed balance expected for a true zero-temperature environment. We explore overcoming this limitation using a recently developed technique from open-quantum-systems called pseudomodes.
  arXiv  Detail & Related papers  (2023-10-19T07:43:23Z)
• 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)
• Kinetically Constrained Quantum Dynamics in Superconducting Circuits [0.7734726150561088]
  We study the dynamical properties of the bosonic quantum East model at low temperature. We show that quantum information remains localized within decoherence times tunable with the parameters of the system. We propose an implementation of the bosonic quantum East model based on state-of-the-art superconducting circuits.
  arXiv  Detail & Related papers  (2021-12-15T19:00:02Z)
• Microscopic dynamics and an effective Landau-Zener transition in the quasi-adiabatic preparation of spatially ordered states of Rydberg excitations [0.0]
  We study the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in finite one-dimensional lattices by frequency-chirped laser pulses. Our aims are to unravel the microscopic mechanism of the phase transition from the unexcited state of atoms to the antiferromagnetic-like state of Rydberg excitations.
  arXiv  Detail & Related papers  (2021-11-29T14:32:30Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• Stabilizing volume-law entangled states of fermions and qubits using local dissipation [13.502098265779946]
  We analyze a general method for the dissipative preparation and stabilization of volume-law entangled states of fermionic and qubit lattice systems in 1D. Our ideas are compatible with a number of experimental platforms, including superconducting circuits and trapped ions.
  arXiv  Detail & Related papers  (2021-07-29T15:47:51Z)
• Interplay between transport and quantum coherences in free fermionic systems [58.720142291102135]
  We study the quench dynamics in free fermionic systems. In particular, we identify a function, that we dub emphtransition map, which takes the value of the stationary current as input and gives the value of correlation as output.
  arXiv  Detail & Related papers  (2021-03-24T17:47:53Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• 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.