Simulating Schwinger model dynamics with quasi-one-dimensional qubit arrays

• URL: http://arxiv.org/abs/2409.14544v1
• Date: Sun, 22 Sep 2024 17:58:25 GMT
• Title: Simulating Schwinger model dynamics with quasi-one-dimensional qubit arrays
• Authors: Alessio Lerose,
• Abstract summary: We develop a strategy to run Schwinger model dynamics on synthetic quantum spin lattices. We show that global magnetic field patterns can drive coherent quantum dynamics of the interface equivalent to the lattice Schwinger Hamiltonian. This work opens up a path for near-term quantum simulators to address questions of immediate relevance to particle physics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Real-time dynamics of the Schwinger model provide an effective description of quark confinement out of equilibrium, routinely employed to model hadronization processes in particle-physics event generators. Ab-initio simulations of such non-perturbative processes are far beyond the reach of existing computational tools, and remain an outstanding open quest for quantum simulators to date. In this work we develop a general strategy to run Schwinger model dynamics on synthetic quantum spin lattices, such as neutral-atom or superconducting-qubit arrays. Our construction encodes the constrained fermionic and bosonic degrees of freedom of the model into the geometric shape of a magnetic interface. We show that global magnetic field patterns can drive coherent quantum dynamics of the interface equivalent to the lattice Schwinger Hamiltonian. We rigorously establish that the optimal array required for simulating real-time wave packet collisions and string fragmentation processes with accuracy $\epsilon$ in the continuum field-theory limit, is a quasi-one-dimensional ribbon with polynomial length and polylogarithmic width in $\epsilon^{-1}$. We finally discuss a concrete advantageous implementation using a state-of-the-art dual-species Rydberg atom array. This work opens up a path for near-term quantum simulators to address questions of immediate relevance to particle physics.

Related papers

• Fermion-qudit quantum processors for simulating lattice gauge theories with matter [0.0]
  We present a complete Rydberg-based architecture, co-designed to digitally simulate the dynamics of general gauge theories. We show how to prepare hadrons made up of fermionic matter constituents bound by non-abelian gauge fields. In both cases, we estimate the required resources, showing how quantum devices can be used to calculate experimentally-relevant quantities.
  arXiv  Detail & Related papers  (2023-03-15T15:12:26Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Large-Scale $2+1$D $\mathrm{U}(1)$ Gauge Theory with Dynamical Matter in a Cold-Atom Quantum Simulator [3.1192594881563127]
  A major driver of quantum-simulator technology is the prospect of probing high-energy phenomena in synthetic quantum matter setups at a high level of control and tunability. Here, we propose an experimentally feasible realization of a large-scale $2+1$D $mathrmU(1)$ gauge theory with dynamical matter and gauge fields in a cold-atom quantum simulator with spinless bosons.
  arXiv  Detail & Related papers  (2022-11-02T18:00:00Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
  Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. We present an algorithm that compresses the Trotter steps into a single block of quantum gates. This results in a fixed depth time evolution for certain classes of Hamiltonians.
  arXiv  Detail & Related papers  (2021-08-06T19:38:01Z)
• Fixed Depth Hamiltonian Simulation via Cartan Decomposition [59.20417091220753]
  We present a constructive algorithm for generating quantum circuits with time-independent depth. We highlight our algorithm for special classes of models, including Anderson localization in one dimensional transverse field XY model. In addition to providing exact circuits for a broad set of spin and fermionic models, our algorithm provides broad analytic and numerical insight into optimal Hamiltonian simulations.
  arXiv  Detail & Related papers  (2021-04-01T19:06:00Z)
• Quantum Markov Chain Monte Carlo with Digital Dissipative Dynamics on Quantum Computers [52.77024349608834]
  We develop a digital quantum algorithm that simulates interaction with an environment using a small number of ancilla qubits. We evaluate the algorithm by simulating thermal states of the transverse Ising model.
  arXiv  Detail & Related papers  (2021-03-04T18:21:00Z)
• Efficient simulation of ultrafast quantum nonlinear optics with matrix product states [0.0]
  We develop an algorithm to unravel the MPS quantum state into constituent temporal supermodes. We observe the development of non-classical Wigner-function negativity in the solitonic mode and quantum corrections to the semiclassical dynamics of the pulse.
  arXiv  Detail & Related papers  (2021-02-11T09:15:24Z)
• Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity [5.336258422653554]
  We use a multimode superconducting parametric cavity as a hardware-efficient analog quantum simulator. We realize a lattice in synthetic dimensions with complex hopping interactions. The complex-valued hopping interaction further allows us to simulate, for instance, gauge potentials and topological models.
  arXiv  Detail & Related papers  (2021-01-11T14:46:39Z)
• Toward scalable simulations of Lattice Gauge Theories on quantum computers [0.0]
  We provide a resource for simulations of real-time dynamics in lattice gauge theories on arbitrary dimensions. We study the phenomena of flux-string breaking up to a genuine bi-dimensional model using classical quantum circuits.
  arXiv  Detail & Related papers  (2020-05-20T18:00:30Z)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

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.