Quantum Simulation of Lattice Gauge Theories on Superconducting Circuits: Quantum Phase Transition and Quench Dynamics

• URL: http://arxiv.org/abs/2009.13350v3
• Date: Wed, 9 Feb 2022 08:02:33 GMT
• Title: Quantum Simulation of Lattice Gauge Theories on Superconducting Circuits: Quantum Phase Transition and Quench Dynamics
• Authors: Zi-Yong Ge, Rui-Zhen Huang, Zi Yang Meng, and Heng Fan
• Abstract summary: We propose an implementation to approximate $mathbbZ$ LGT on superconducting quantum circuits. With an increase of the transverse (electric) field, the confinement system displays a quantum phase transition from a disordered phase to a translational symmetry breaking phase. Our results pave the way for simulating the LGT on superconducting circuits, including the quantum phase transition and quench dynamics.
• Score: 10.967081346848687
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently, quantum simulation of low-dimensional lattice gauge theories (LGTs) has attracted many interests, which may improve our understanding of strongly correlated quantum many-body systems. Here, we propose an implementation to approximate $\mathbb{Z}_2$ LGT on superconducting quantum circuits, where the effective theory is a mixture of a LGT and a gauge-broken term. Using matrix product state based methods, both the ground state properties and quench dynamics are systematically investigated. With an increase of the transverse (electric) field, the system displays a quantum phase transition from a disordered phase to a translational symmetry breaking phase. In the ordered phase, an approximate Gauss law of the $\mathbb{Z}_2$ LGT emerges in the ground state. Moreover, to shed light on the experiments, we also study the quench dynamics, where there is a dynamical signature of the spontaneous translational symmetry breaking. The spreading of the single particle of matter degree is diffusive under the weak transverse field, while it is ballistic with small velocity for the strong field. Furthermore, due to the emergent Gauss law under the strong transverse field, the matter degree can also exhibit confinement dynamics which leads to a strong suppression of the nearest-neighbor hopping. Our results pave the way for simulating the LGT on superconducting circuits, including the quantum phase transition and quench dynamics.

Related papers

• Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories [103.95523007319937]
  We study the dynamics of local excitations in a lattice of superconducting qubits. For confined excitations, the magnetic field induces a tension in the string connecting them. Our method allows us to experimentally image string dynamics in a (2+1)D LGT.
  arXiv  Detail & Related papers  (2024-09-25T17:59:05Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• 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)
• Stochastic modeling of superconducting qudits in the dispersive regime [0.0773931605896092]
  This work focuses on modeling the dispersive quadrature measurement in an open quantum system. We verify our model with a series of experimental results on a transmon-type qutrit.
  arXiv  Detail & Related papers  (2023-10-29T00:39:47Z)
• Probing Confinement Through Dynamical Quantum Phase Transitions: From Quantum Spin Models to Lattice Gauge Theories [0.0]
  We show that a change in the type of dynamical quantum phase transitions accompanies the confinement-deconfinement transition. Our conclusions can be tested in modern quantum-simulation platforms, such as ion-trap setups and cold-atom experiments of gauge theories.
  arXiv  Detail & Related papers  (2023-10-18T18:00:04Z)
• 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)
• Reminiscence of classical chaos in driven transmons [117.851325578242]
  We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic. Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
  arXiv  Detail & Related papers  (2022-07-19T16:04:46Z)
• Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer [0.11744028458220425]
  We simulate the groundstate of the quantum Ising model through its quantum critical point on a superconducting quantum device. Our approach avoids finite-size scaling effects by using sequential quantum circuits inspired by infinite matrix product states.
  arXiv  Detail & Related papers  (2022-05-25T18:05:53Z)
• Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model [0.0]
  We investigate the equilibrium properties and relaxation features of the dissipative quantum Rabi model. We show that, in the Ohmic regime, a Beretzinski-Kosterlitz-Thouless quantum phase transition occurs by varying the coupling strength.
  arXiv  Detail & Related papers  (2022-05-23T18:13:10Z)
• 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.