Quantum chaos and critical behavior on a chip

  title={Quantum chaos and critical behavior on a chip},
  author={Neill Lambert and Yueh-Nan Chen and Robert Johannsson and Franco Nori},
  journal={Physical Review B},
The Dicke model describes $N$ qubits (or two-level atoms) homogeneously coupled to a bosonic mode. Here we examine an open-system realization of the Dicke model, which contains critical and chaotic behaviors. In particular, we extend this model to include an additional open transport qubit (coupled to the bosonic mode) for passive and active measurements. We illustrate how the scaling (in the number of qubits $N$) of the super-radiant phase transition can be observed in both current and current… 

Figures from this paper

Dissipation-induced bistability in the two-photon Dicke model
This work analytically obtain the steady-state expectation values of the observables signaling a symmetry breaking, identifying a first-order phase transition from the normal to the superradiant phase and unveils a very rich phase diagram, which features stable, bistable, and unstable phases depending on the dissipation rate.
Ultrastrong-coupling phenomena beyond the Dicke model
We study effective light-matter interactions in a circuit QED system consisting of a single $LC$ resonator, which is coupled symmetrically to multiple superconducting qubits. Starting from a minimal
Digital-analog quantum simulation of generalized Dicke models with superconducting circuits
This strategy paves the way for the scalable digital-analog quantum simulation of many-body dynamics involving bosonic modes and spin degrees of freedom with superconducting circuits, by suitable decomposition into analog qubit-bosonic blocks and collective single-qubit pulses through digital steps.
Non-equilibrium correlations and entanglement in a semiconductor hybrid circuit-QED system
We present a theoretical study of a hybrid circuit-quantum electrodynamics system composed of two semiconducting charge-qubits confined in a microwave resonator. The qubits are defined in terms of
Emergence and control of complex behaviors in driven systems of interacting qubits with dissipation
Progress in the creation of large-scale, artificial quantum coherent structures demands the investigation of their nonequilibrium dynamics when strong interactions, even between remote parts, are
Quantum Nonlinearities in Strong Coupling Circuit Qed
The fundamental interaction between matter and light can be studied in cavity quantum electrodynamics (QED). If a single atom and a single photon interact in a cavity resonator where they are well
Implementation of a quantum metamaterial using superconducting qubits.
The realized prototype represents a mesoscopic limit of naturally occurring spin ensembles and as such the AC-Zeeman shift of a resonant qubit ensemble is demonstrated.
Introduction to the Dicke Model: From Equilibrium to Nonequilibrium, and Vice Versa
The Dicke model describes the coupling between a quantized cavity field and a large ensemble of two‐level atoms. When the number of atoms tends to infinity, this model can undergo a transition to a
Using chaotic device to suppress non-Markovian quantum noises
  • Jing Zhang, R. Wu
  • Physics
    Proceedings of the 30th Chinese Control Conference
  • 2011
To suppress decoherence of solid-state qubits induced by non-Markovian noises, we propose a strategy to couple the qubit with a chaotic device, whose broad power distribution in the high-frequency
From strong to ultrastrong coupling in circuit QED architectures
The field of cavity quantum electrodynamics (cavity QED) studies the interaction between light and matter on a fundamental level: a single atom interacts with a single photon. If the atom-photon


Coherent dynamics of a flux qubit coupled to a harmonic oscillator
This work demonstrates entanglement between a superconducting flux qubit and asuperconducting quantum interference device (SQUID), which provides the measurement system for detecting the quantum states and an effective inductance that, in parallel with an external shunt capacitance, acts as a harmonic oscillator.
Two-resonator circuit quantum electrodynamics : A superconducting quantum switch
We introduce a systematic formalism for two-resonator circuit QED, where two on-chip microwave resonators are simultaneously coupled to one superconducting qubit. Within this framework, we
Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
Superconducting qubits behave as artificial two-level atoms and are used to investigate fundamental quantum phenomena. In this context, the study of multi-photon excitations occupies a central role.
Chaos and the quantum phase transition in the Dicke model.
  • C. Emary, T. Brandes
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
A semiclassical Dicke model is derived that exhibits analogues of all the important features of the quantum model, such as the phase transition and the concurrent onset of chaos, and it is demonstrated that the system undergoes a transition from quasi-integrability to quantum chaotic.
Coupling superconducting qubits via a cavity bus
These experiments show that two nearby qubits can be readily coupled with local interactions, and show the implementation of a quantum bus, using microwave photons confined in a transmission line cavity, to couple two superconducting qubits on opposite sides of a chip.
Using a qubit to measure photon-number statistics of a driven thermal oscillator
We demonstrate theoretically how photon-number statistics of a driven damped oscillator at finite temperature can be extracted by measuring the dephasing spectrum of a two-level system dispersively
Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics
It is shown that the strong coupling regime can be attained in a solid-state system, and the concept of circuit quantum electrodynamics opens many new possibilities for studying the strong interaction of light and matter.
Scaling of entanglement close to a quantum phase transition
It is demonstrated, for a class of one-dimensional magnetic systems, that entanglement shows scaling behaviour in the vicinity of the transition point, which connects the theory of critical phenomena with quantum information by exploring the entangling resources of a system close to its quantum critical point.
Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
We theoretically study a circuit QED architecture based on a superconducting flux qubit directly coupled to the center conductor of a coplanar waveguide transmission-line resonator. As already shown
Simulation of the superradiant quantum phase transition in the superconducting charge qubits inside a cavity
In this paper, we propose an experimentally feasible scheme that the superconducting quantum interference devices are coupled with a high-quality cavity supporting a single-mode photon, to realize an