Hybrid quantum magnetism in circuit-QED: from spin-photon waves to many-body spectroscopy
arXiv:1310.8173 · doi:10.1103/PhysRevLett.112.180405
Abstract
We introduce a model of quantum magnetism induced by the non-perturbative exchange of microwave photons between distant superconducting qubits. By interconnecting qubits and cavities, we obtain a spin-boson lattice model that exhibits a quantum phase transition where both qubits and cavities spontaneously polarise. We present a many-body ansatz that captures this phenomenon all the way, from a the perturbative dispersive regime where photons can be traced out, to the non-perturbative ultra-strong coupling regime where photons must be treated on the same footing as qubits. Our ansatz also reproduces the low-energy excitations, which are described by hybridised spin-photon quasiparticles, and can be probed spectroscopically from transmission experiments in circuit-QED, as shown by simulating a possible experiment by Matrix-Product-State methods.
closer to published version
References in corpus (37)
- Nonequilibrium dynamics of closed interacting quantum systems
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Coupling Superconducting Qubits via a Cavity Bus
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Effective quantum spin systems with ion traps
- Quantum phase transitions
- Quantum oscillations in two coupled charge qubits
- Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Quantum dynamics of a single, mobile spin impurity
- The iTEBD algorithm beyond unitary evolution
- Microscopic observation of magnon bound states and their dynamics
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Short-range quantum magnetism of ultracold fermions in an optical lattice
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
- Spectroscopy on two coupled flux qubits
- Superradiant Phase Transitions and the Standard Description of Circuit QED
- Controllable coupling of superconducting flux qubits
- Effective spin systems in coupled micro-cavities
- Time evolution algorithms for Matrix Product States and DMRG
- On the phase transition of light in cavity QED lattices
- Nonequilibrium and nonperturbative dynamics of ultrastrong coupling in open lines
- Spin dynamics for bosons in an optical lattice
- Entanglement between charge qubits induced by a common dissipative environment
- Green function techniques in the treatment of quantum transport at the molecular scale
- Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED
- Dispersive regime of the Jaynes-Cummings and Rabi lattice
- Photonic Phase Gate via an Exchange of Fermionic Spin Waves in a Spin Chain
- A scanning transmon qubit for strong coupling circuit quantum electrodynamics
- Quantum Phase Transition of Light in the Rabi-Hubbard Model
- Large-Scale Schrödinger-Cat States and Majorana Bound States in Coupled Circuit-QED Systems
- Mesoscopic mean-field theory for spin-boson chains in quantum optical systems
Cited by in corpus (31)
- Quantum Simulation with Interacting Photons
- Ultrastrong coupling few-photon scattering theory
- Dynamical polaron ansatz: a theoretical tool for the ultra-strong coupling regime of circuit QED
- Experimental Realization of the Rabi-Hubbard Model with Trapped Ions
- Implementation of Chiral Quantum Optics with Rydberg and Trapped-ion Setups
- Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
- Hidden Frustrated Interactions and Quantum Annealing in Trapped Ion Spin-Phonon Chains
- Bandgap-Assisted Quantum Control of Topological Edge States in a Cavity
- Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
- Quantum phase transition in a multi-connected superconducting Jaynes-Cummings lattice
- Few-photon transport in many-body photonic systems: A scattering approach
- Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
- Multiphoton Scattering Tomography with Coherent States
- Shaping photons: quantum computation with bosonic cQED
- Quantum Monte Carlo Study of the Rabi-Hubbard Model
- Mediator assisted cooling in quantum annealing
- Application of polaron picture in the two-qubit quantum Rabi model
- Quantum phase transition in a multiconnected Jaynes-Cummings lattice
- Scalable quantum computing model in the circuit-QED lattice with circulator function
- Quantum annealing in spin-boson model: from a perturbative to a ultrastrong mediated coupling
- Quantum Simulation with a Boson Sampling Circuit
- Quantum Simulation and Optimization in Hot Quantum Networks
- Synchronization of Networked Jahn-Teller Systems in Circuit QED
- Laser from a Manybody Correlated Medium
- Mott insulator-superfluid phase transition in a detuned multi-connected Jaynes-Cummings lattice
- The Interspersed Spin Boson Lattice Model
- Collective Modes in the Cooperative Jahn-Teller Model: Path Integral Approach
- Driven Spin-Boson Luttinger Liquids
- Superradiance, charge density waves and lattice gauge theory in a generalized Rabi-Hubbard chain
- Ultrastrong capacitive coupling of flux qubits
- Photon-assisted Landau Zener transitions in a tunable driven Rabi dimer coupled to a micromechanical resonator