Cavity-based reservoir engineering for Floquet-engineered superconducting circuits
arXiv:2205.15778 · doi:10.1103/PhysRevLett.129.233601
Abstract
Considering the example of superconducting circuits, we show how Floquet engineering can be combined with reservoir engineering for the controlled preparation of target states. Floquet engineering refers to the control of a quantum system by means of time-periodic forcing, typically in the high-frequency regime, so that the system is governed effectively by a time-independent Floquet Hamiltonian with novel interesting properties. Reservoir engineering, on the other hand, can be achieved in superconducting circuits by coupling a system of artificial atoms (or qubits) dispersively to pumped leaky cavities, so that the induced dissipation guides the system into a desired target state. It is not obvious that the two approaches can be combined, since reaching the dispersive regime, in which system and cavities exchange excitations only virtually, can be spoiled by driving-induced resonant transitions. However, working in the extended Floquet space and treating both system-cavity coupling as well as driving-induced excitation processes on the same footing perturbatively, we identify regimes, where reservoir engineering of targeted Floquet states is possible and accurately described by an effective time-independent master equation. We successfully benchmark our approach for the preparation of the ground state in a system of interacting bosons subjected to Floquet engineered magnetic fields in different lattice geometries.
arXiv comment5 + 15 pages
References in corpus (50)
- Topological Photonics
- Photonic Floquet Topological Insulators
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Experimental realisation of the topological Haldane model
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Circuit Quantum Electrodynamics
- Introduction to Quantum Noise, Measurement and Amplification
- Quantum Error Correction for Quantum Memories
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Atomic quantum gases in periodically driven optical lattices
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Floquet Engineering of Quantum Materials
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
- Quantum simulation of frustrated magnetism in triangular optical lattices
- Dynamical control of matter-wave tunneling in periodic potentials
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Observation of photonic anomalous Floquet Topological Insulators
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- Chiral groundstate currents of interacting photons in a synthetic magnetic field
- Fractional quantum Hall states of atoms in optical Lattices
- Spectral signatures of many-body localization with interacting photons
- A Dissipatively Stabilized Mott Insulator of Photons
- Realization of an anomalous Floquet topological system with ultracold atoms
- Coherent control of dressed matter waves
- Microscopy of the interacting Harper-Hofstadter model in the few-body limit
- Artificial gauge fields in materials and engineered systems
- Experimental observation of Aharonov-Bohm cages in photonic lattices
- Cavity-assisted quantum bath engineering
- Interaction induced delocalisation for two particles in a periodic potential
- Chiral Ladders and the Edges of Chern Insulators
- Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
- First-order sideband transitions with flux-driven asymmetric transmon qubits
- Protecting a Bosonic Qubit with Autonomous Quantum Error Correction
- Frustrated quantum antiferromagnetism with ultracold bosons in a triangular lattice
- Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
- Occupation of topological Floquet bands in open systems
- Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
- Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
- Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
- Engineering bilinear mode coupling in circuit QED: Theory and experiment
- Effective Floquet-Gibbs states for dissipative quantum systems
- Statistical mechanics of Floquet systems with regular and chaotic states
- Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
- Single-site-resolved measurement of the current statistics in optical lattices
- Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
- High-frequency expansions for time-periodic Lindblad generators
- Dissipative preparation of fractional Chern insulators
- Drive-induced nonlinearities of cavity modes coupled to a transmon ancilla
- Robust and Ultrafast State Preparation by Ramping Artificial Gauge Potentials
Cited by in corpus (10)
- Accelerating Quantum Relaxation via Temporary Reset: A Mpemba-Inspired Approach
- Floquet engineering the quantum Rabi model in the ultrastrong coupling regime
- Dissipative Dicke time crystals: an atoms' point of view
- Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
- Engineering nonequilibrium steady states through Floquet Liouvillians
- Controlling Nonequilibrium Bose-Einstein Condensation with Engineered Environments
- Autonomous Stabilization of Floquet States Using Static Dissipation
- How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
- Coherent anharmonicity transfer from matter to light in the THz regime
- Feedback cooling of fermionic atoms in optical lattices