Dynamical Casimir effect in a double tunable superconducting circuit

Abstract

We present an analytical and numerical analysis of the particle creation in a cavity ended with two SQUIDs, both subjected to time dependent magnetic fields. In the linear and lossless regime, the problem can be modeled by a free quantum field in $1+1$ dimensions, in the presence of boundary conditions that involve a time dependent linear combination of the field and its spatial and time derivatives. We consider a situation in which the boundary conditions at both ends are periodic functions of time, focusing on interesting features as the dependence of the rate of particle creation with the characteristics of the spectrum of the cavity, the conditions needed for parametric resonance, and interference phenomena due to simultaneous time dependence of the boundary conditions. We point out several concrete effects that could be tested experimentally

18 figures. Version to appear in Phys. Rev. A

References in corpus (21)

• Observation of the Dynamical Casimir Effect in a Superconducting Circuit
• Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits
• Dynamical Casimir effect in a Josephson metamaterial
• The dynamical Casimir effect in a superconducting coplanar waveguide
• Motion Induced Radiation from a Vibrating Cavity
• Current status of the Dynamical Casimir Effect
• Dynamical Casimir effect entangles artificial atoms
• Parametric resonance in tunable superconducting cavities
• Resonant photon creation in a three dimensional oscillating cavity
• Quantum electromagnetic field in a three dimensional oscillating cavity
• Fluctuations, dissipation and the dynamical Casimir effect
• Creation of photons in an oscillating cavity with two moving mirrors
• Quantum radiation from superluminal refractive index perturbations
• Entangling polaritons via dynamical Casimir effect in circuit quantum electrodynamics
• Experimental quantum cosmology in time-dependent optical media
• Vacuum fluctuations and generalized boundary conditions
• New signatures of the dynamical Casimir effect in a superconducting circuit
• Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect
• Microwave photon generation in a doubly tunable superconducting resonator
• Dynamical Casimir effect in superconducting circuits: a numerical approach
• Numerical approach to simulating interference phenomena in a two-oscillating mirrors cavity

Cited by in corpus (6)

• The quantum Otto cycle in a superconducting cavity in the non-adiabatic regime
• Photon generation via dynamical Casimir effect in an optomechanical cavity as a closed quantum system
• Quarter-wave Resonator Based Tunable Coupler for Xmon Qubits
• Entanglement degradation of cavity modes due to the dynamical Casimir effect
• Dynamical Casimir effect via modulated Kerr or higher nonlinearities
• Photon generation and entanglement in a double superconducting cavity