Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED

Abstract

We show how a quantum Ising spin chain in a time-dependent transverse magnetic field can be simulated and experimentally probed in the framework of circuit QED with current technology. The proposed setup provides a new platform for observing the nonequilibrium dynamics of interacting many-body systems. We calculate its spectrum to offer a guideline for its initial experimental characterization. We demonstrate that quench dynamics and the propagation of localized excitations can be observed with the proposed setup and discuss further possible applications and modifications of this circuit QED quantum simulator.

v2: 5+11 pages, 4+10 figures, as to appear in Phys. Rev. Lett. (2013)

References in corpus (31)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Cold bosonic atoms in optical lattices
• Charge insensitive qubit design derived from the Cooper pair box
• Nonequilibrium dynamics of closed interacting quantum systems
• Time-dependence of correlation functions following a quantum quench
• Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
• Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Quantum phase transitions of light
• Quantum oscillations in two coupled charge qubits
• Quantum Quenches in Extended Systems
• Universal digital quantum simulation with trapped ions
• Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
• Preparation and Measurement of Three-Qubit Entanglement in a Superconducting Circuit
• Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
• Implementation of a Toffoli Gate with Superconducting Circuits
• Observation of quantum jumps in a superconducting artificial atom
• Implementing the Quantum von Neumann Architecture with Superconducting Circuits
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• Long range correlations in the non-equilibrium quantum relaxation of a spin chain
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Semi-classical theory for quantum quenches in finite transverse Ising chains
• On the phase transition of light in cavity QED lattices
• Characterization of a two-transmon processor with individual single-shot qubit readout
• Quantum relaxation after a quench in systems with boundaries
• Circuit QED and sudden phase switching in a superconducting qubit array
• Probing Quantum Phase Transition in Macroscopic Qubit Array via circuit QED architecture
• A many-fermion generalization of the Caldeira-Leggett model

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• Superconducting Qubits: Current State of Play
• Quench dynamics and relaxation in isolated integrable quantum spin chains
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• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Lattice gauge theories simulations in the quantum information era
• Progress in Superconducting Metamaterials
• Quantum computers as universal quantum simulators: state-of-art and perspectives
• Digital Quantum Simulation of Spin Systems in Superconducting Circuits
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• Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
• Efficient Quantum Algorithm for Computing n-time Correlation Functions
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• Quantum phases in circuit QED with a superconducting qubit array
• Photon transport in a Bose-Hubbard chain of superconducting artificial atoms
• Metastability in an open quantum Ising model
• Probing the spectral density of a dissipative qubit via quantum synchronization
• Analog Superconducting Quantum Simulator for Holstein Polarons
• Dipolar Spin Models with Arrays of Superconducting Qubits
• The fate of quantum many-body scars in the presence of disorder
• Hybrid quantum magnetism in circuit-QED: from spin-photon waves to many-body spectroscopy
• Dynamics of dissipative Landau-Zener transitions
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Quantum annealing via environment-mediated quantum diffusion
• Bandgap-Assisted Quantum Control of Topological Edge States in a Cavity
• Thermal transistor effect in quantum systems
• Quantum phase transition in a multi-connected superconducting Jaynes-Cummings lattice
• Nonequilibrium current-carrying steady states in the anisotropic $XY$ spin chain
• Quantum simulation of Kibble-Zurek mechanism with a semiconductor electron charge qubit
• Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
• Critical light-matter entanglement at cavity mediated phase transition
• Beyond adiabatic elimination: Effective Hamiltonians and singular perturbation
• Analytical solutions of basic models in quantum optics
• Quantum Simulation of Spin Chains Coupled to Bosonic Modes with Superconducting Circuits
• Characterization of low loss microstrip resonators as a building block for circuit QED in a 3D waveguide
• Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving
• Site-wise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators
• Effective time reversal and echo dynamics in the transverse field Ising model
• The quantum transverse-field Ising chain in circuit QED: effects of disorder on the nonequilibrium dynamics
• Scalable quantum computing model in the circuit-QED lattice with circulator function
• Cavity-assisted Dynamical Quantum Phase Transition at Bifurcation Points
• Nonequilibrium dynamical renormalization group: Dynamical crossover from weak to infinite randomness in the transverse-field Ising chain
• A superconducting circuit probe for analog quantum simulators
• Mapping repulsive to attractive interaction in driven-dissipative quantum systems
• Electromechanical Quantum Simulators
• Adiabatic state preparation of stripe phases with strongly magnetic atoms
• Mott insulator-superfluid phase transition in a detuned multi-connected Jaynes-Cummings lattice
• Local vs non-local dynamics in cavity-coupled Rydberg atom arrays