# Dynamical Casimir effect in a double tunable superconducting circuit

@article{Lombardo2018DynamicalCE, title={Dynamical Casimir effect in a double tunable superconducting circuit}, author={Fernando C. Lombardo and Francisco Diego Mazzitelli and Alejandro Soba and Paula I. Villar}, journal={Physical Review A}, year={2018} }

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…

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## References

SHOWING 1-10 OF 45 REFERENCES

### Dynamical Casimir effect in superconducting circuits: A numerical approach

- Physics
- 2016

We present a numerical analysis of the particle creation for a quantum field in the presence of time dependent boundary conditions. Having in mind recent experiments involving superconducting…

### Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect

- Physics
- 2015

We study analytically the time-dependent boundary conditions of superconducting microwave circuit experiments in the high plasma frequency limit, in which the conditions are Robin-type and relate the…

### Dynamical Casimir effect in a superconducting coplanar waveguide.

- PhysicsPhysical review letters
- 2009

It is experimentally feasible to directly detect this nonclassical broadband radiation and the power of the radiation is estimated for realistic parameters and shown to be identical to the one calculated in the dynamical Casimir effect for a single oscillating mirror.

### Dynamical Casimir effect in a Josephson metamaterial

- PhysicsProceedings of the National Academy of Sciences
- 2013

The zero-point energy stored in the modes of an electromagnetic cavity has experimentally detectable effects, giving rise to an attractive interaction between the opposite walls, the static Casimir…

### New signatures of the dynamical Casimir effect in a superconducting circuit

- Physics
- 2014

We found new signatures of the dynamical Casimir effect (DCE) in the context of superconducting circuits. We show that if the recent experiment made by Wilson {\it et al}, which brought the DCE into…

### Quantum electromagnetic field in a three-dimensional oscillating cavity

- Physics
- 2002

We compute the photon creation inside a perfectly conducting, three dimensional oscillating cavity, taking the polarization of the electromagnetic field into account. As the boundary conditions for…

### Fluctuations, Dissipation and the Dynamical Casimir Effect

- Physics
- 2011

Vacuum fluctuations provide a fundamental source of dissipation for systems coupled to quantum fields by radiation pressure. In the dynamical Casimir effect, accelerating neutral bodies in free space…

### Resonant photon creation in a three dimensional oscillating cavity

- Physics
- 2001

We analyze the problem of photon creation inside a perfectly conducting, rectangular, three-dimensional cavity with one oscillating wall. For some particular values of the frequency of the…

### Observation of the dynamical Casimir effect in a superconducting circuit

- PhysicsNature
- 2011

The dynamical Casimir effect is observed in a superconducting circuit consisting of a coplanar transmission line with a tunable electrical length and two-mode squeezing in the emitted radiation is detected, which is a signature of the quantum character of the generation process.

### Entangling polaritons via dynamical Casimir effect in circuit quantum electrodynamics

- Physics
- 2016

We investigate how the dynamical Casimir effect can entangle quantum systems in different coupling regimes of circuit quantum electrodynamics, and show the robustness of such entanglement generation…