Related Experiment Video
Updated: Aug 16, 2025
10:26
Fabrication and Characterization of Superconducting Resonators
Published on: May 21, 2016
11.4K
Cavity-Based Reservoir Engineering for Floquet-Engineered Superconducting Circuits
Francesco Petiziol1, André Eckardt1
1Technische Universität Berlin, Institut für Theoretische Physik, Hardenbergstraße 36, Berlin 10623, Germany.
Physical Review Letters
|December 23, 2022
Summary
We demonstrate combining Floquet engineering with reservoir engineering to control quantum states in superconducting circuits. This hybrid approach enables precise preparation of target states, overcoming previous limitations.
Area of Science:
- Quantum Computing
- Quantum Control
- Condensed Matter Physics
Background:
- Floquet engineering uses time-periodic forcing to control quantum systems effectively.
- Reservoir engineering uses dissipation to guide quantum systems into desired states.
- Combining these methods in superconducting circuits presents challenges due to driving-induced transitions.
Purpose of the Study:
- To investigate the combination of Floquet and reservoir engineering for controlled state preparation.
- To identify conditions under which this hybrid approach is feasible in superconducting circuits.
- To benchmark the method for preparing specific quantum states.
Main Methods:
- Utilizing an extended Floquet space to analyze system-cavity coupling and driving effects.
- Applying perturbative treatments to both coupling and excitation processes.
- Developing an effective time-independent master equation to describe the system dynamics.
- Benchmarking against the preparation of the ground state in interacting bosons.
Main Results:
- Identified regimes where reservoir engineering of Floquet states is possible.
- Demonstrated that the combined approach can be accurately described by an effective master equation.
- Successfully prepared the ground state of interacting bosons using Floquet-engineered magnetic fields.
- Validated the method across different lattice geometries.
Conclusions:
- The combination of Floquet and reservoir engineering is a viable strategy for quantum state preparation.
- The developed theoretical framework accurately describes the hybrid control mechanism.
- This approach offers a powerful tool for engineering quantum states in superconducting circuits.
Related Concept Videos
01:28Types Of Superconductors
1.1K
A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
1.1K
01:24Superconductor
1.2K
A substance that reaches superconductivity, a state in which magnetic fields cannot penetrate, and there is no electrical resistance, is referred to as a superconductor. In 1911, Heike Kamerlingh Onnes of Leiden University, a Dutch physicist, observed a relation between the temperature and the resistance of the element mercury. The mercury sample was then cooled in liquid helium to study the linear dependence of resistance on temperature. It was observed that, as the temperature decreased, the...
1.2K
01:27Induced Electric Fields: Applications
1.8K
An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...
1.8K
01:28Standing Waves in a Cavity
989
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
989
01:16Equipotential Surfaces and Conductors
3.6K
For a conductor in which all charges are at rest, the conductor's surface is equipotential. The electric field is always perpendicular to equipotential surfaces. Therefore, in a conductor with static charges, the electric field just outside the conductor is always perpendicular to the conductor's surface. Any tangential component of the electric field will cause charges to move inside the conductor, which will violate the electrostatic nature of the system. In an electrostatic...
3.6K
01:13Torque On A Current Loop In A Magnetic Field
4.5K
The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
4.5K