Prospects of cooling a mechanical resonator with a transmon qubit in c-QED setup

Abstract

Hybrid devices based on the superconducting qubits have emerged as a promising platform for controlling the quantum states of macroscopic resonators. The nonlinearity added by a qubit can be a valuable resource for such control. Here we study a hybrid system consisting of a mechanical resonator longitudinally coupled to a transmon qubit. The qubit readout can be done by coupling to a readout mode like in c-QED setup. The coupling between the mechanical resonator and transmon qubit can be implemented by modulation of the SQUID inductance. In such a tri-partite system, we analyze the steady-state occupation of the mechanical mode when all three modes are dispersively coupled. We use the quantum-noise and the Lindblad formalism to show that the sideband cooling of the mechanical mode to its ground state is achievable. We further experimentally demonstrate that measurements of the thermomechanical motion is possible in the dispersive limit, while maintaining a large coupling between qubit and mechanical mode. Our theoretical calculations suggest that single-photon strong coupling is within the experimental reach in such hybrid devices.

arXiv comment13 pages, 6 figures

References in corpus (37)

• Cavity Optomechanics
• Laser cooling of a nanomechanical oscillator into its quantum ground state
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Circuit Quantum Electrodynamics
• Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
• Ultrastrong coupling regimes of light-matter interaction
• The photon blockade effect in optomechanical systems
• Quantum squeezing of motion in a mechanical resonator
• Entangled massive mechanical oscillators
• Single-photon Optomechanics
• Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
• Strong magnetic coupling between an electronic spin qubit and a mechanical resonator
• Laser cooling of a nanomechanical resonator mode to its quantum ground state
• Direct observation of deterministic macroscopic entanglement
• Hybrid circuit cavity quantum electrodynamics with a micromechanical resonator
• Single-photon cavity optomechanics mediated by a quantum two-level system
• Resolving the energy levels of a nanomechanical oscillator
• Ground state cooling of mechanical resonators
• Quantum state preparation, tomography, and entanglement of mechanical oscillators
• Cooling of Nanomechanical Resonator Based on Periodical Coupling to Cooper Pair Box
• Ultrastrong parametric coupling between a superconducting cavity and a mechanical resonator
• Phonon number sensitive electromechanics
• Cooling of mechanical motion with a two level system: the high temperature regime
• Coupling microwave photons to a mechanical resonator using quantum interference
• Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit
• Dissipation in circuit quantum electrodynamics: lasing and cooling of a low-frequency oscillator
• Flux-mediated optomechanics with a transmon qubit in the single-photon ultrastrong-coupling regime
• Displacemon electromechanics: how to detect quantum interference in a nanomechanical resonator
• Two-color electromagnetically induced transparency via modulated coupling between a mechanical resonator and a qubit
• Single-photon cooling in microwave magneto-mechanics
• Sideband-resolved resonator electromechanics on the single-photon level based on a nonlinear Josephson inductance
• Magnetic-field resilience of 3D transmons with thin-film Al/AlO${}_x$/Al Josephson junctions approaching 1 T
• Four-wave-cooling to the single phonon level in Kerr optomechanics
• Cooling a micro-mechanical resonator by quantum back-action from a noisy qubit
• Large flux-mediated coupling in hybrid electromechanical system with a transmon qubit
• Ground-State Cooling of a Mechanical Oscillator via a Hybrid Electro-Optomechanical System
• Mechanical frequency control in inductively coupled electromechanical systems