Qubit-induced phonon blockade as a signature of quantum behavior in nanomechanical resonators

Abstract

The observation of quantized nanomechanical oscillations by detecting femtometer-scale displacements is a significant challenge for experimentalists. We propose that phonon blockade can serve as a signature of quantum behavior in nanomechanical resonators. In analogy to photon blockade and Coulomb blockade for electrons, the main idea for phonon blockade is that the second phonon cannot be excited when there is one phonon in the nonlinear oscillator. To realize phonon blockade, a superconducting quantum two-level system is coupled to the nanomechanical resonator and is used to induce the phonon self-interaction. Using Monte Carlo simulations, the dynamics of the induced nonlinear oscillator is studied via the Cahill-Glauber $s$-parametrized quasiprobability distributions. We show how the oscillation of the resonator can occur in the quantum regime and demonstrate how the phonon blockade can be observed with currently accessible experimental parameters.

References in corpus (22)

• Radiation-pressure cooling and optomechanical instability of a micro-mirror
• Self-cooling of a micro-mirror by radiation pressure
• Superconducting Circuits and Quantum Information
• Cooling a nanomechanical resonator with quantum back-action
• Near-field cavity optomechanics with nanomechanical oscillators
• Linear and nonlinear optical spectroscopy of a strongly-coupled microdisk-quantum dot system
• The dynamical Casimir effect in a superconducting coplanar waveguide
• Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
• Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
• Coherence times of dressed states of a superconducting qubit under extreme driving
• Mass Detection with Nonlinear Nanomechanical Resonator
• Giant Kerr nonlinearities in Circuit-QED
• Scalable superconducting qubit circuits using dressed states
• Two-Mode Squeezed States and Entangled States of Two Mechanical Resonators
• Nonlinear quantum metrology using coupled nanomechanical resonators
• Dressed Relaxation and Dephasing in a Strongly Driven Two-Level system
• Engineering Quantum States of a Nano-Resonator via a Simple Auxiliary System
• Quantum chaos and critical behavior on a chip
• Rabi-type oscillations in a classical Josephson junction
• Detecting quantum-coherent nanomechanical oscillations using the current-noise spectrum of a double quantum dot
• Distinguishing quantum from classical oscillations in a driven phase qubit
• Pseudo-Rabi oscillations in superconducting flux qubits in the classical regime

Cited by in corpus (71)

• Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
• Microwave photonics with superconducting quantum circuits
• Nonreciprocal Photon Blockade
• Tunable double optomechanically induced transparency in an optomechanical system
• Two-photon and three-photon blockades in driven nonlinear systems
• Magnon Blockade in a Hybrid Ferromagnet-Superconductor Quantum System
• Optomechanical analog of two-color electromagnetically-induced transparency: Photon transmission through an optomechanical device with a two-level system
• Quantum-criticality-induced strong Kerr nonlinearities in optomechanical systems
• Tunable photon blockade in a hybrid system consisting of an optomechanical device coupled to a two-level system
• Antibunching and unconventional photon blockade with Gaussian squeezed states
• Tunable multiphonon blockade in coupled nanomechanical resonators
• Phase-dependent optical response properties in an optomechanical system by coherently driving the mechanical resonator
• Method for observing robust and tunable phonon blockade in a nanomechanical resonator coupled to a charge qubit
• Dissipation-induced nonreciprocal magnon blockade in a magnon-based hybrid system
• Detecting phonon blockade with photons
• State-dependent photon blockade via quantum-reservoir engineering
• Unconventional photon blockade in three-mode optomechanics
• Phonon blockade in a nanomechanical resonator resonantly coupled to a qubit
• Two-photon blockade and photon-induced tunneling generated by squeezing
• Multiphoton blockades in pulsed regimes beyond the stationary limits
• Two-photon blockade in a cascaded cavity-quantum-electrodynamics system
• Quantum scissors - finite-dimensional states engineering
• Enhancement of photon blockade effect via quantum interference
• Quantum correlations and entanglement in a model comprised of a short chain of nonlinear oscillators
• Nonreciprocal phonon blockade
• Phase-space interference of states optically truncated by quantum scissors: Generation of distinct superpositions of qudit coherent states by displacement of vacuum
• Cross-correlation between photons and phonons in quadratically coupled optomechanical systems
• Optically induced phonon blockade in an optomechanical system with second-order nonlinearity
• Inverse Landau-Zener-Stuckelberg problem for qubit-resonator systems
• Two-photon driven Kerr resonator for quantum annealing with three-dimensional circuit QED
• Multi-output microwave single-photon source using superconducting circuits with longitudinal and transverse couplings
• Entanglement between nitrogen vacancy spins in diamond controlled by a nanomechanical resonator
• $n$-photon blockade with an $n$-photon parametric drive
• Photon blockade in non-Hermitian optomechanical systems with nonreciprocal couplings
• Controllable coupling between a nanomechanical resonator and a coplanar-waveguide resonator via a superconducting flux qubit
• Unconventional Cavity Optomechanics: Nonlinear Control of Phonons in the Acoustic Quantum Vacuum
• Hybrid quantum device with a carbon nanotube and a flux qubit for dissipative quantum engineering
• Phonon antibunching effect in coupled nonlinear micro/nanomechanical resonator at finite temperature
• Generation of coherence in an exactly solvable nonlinear nanomechanical system
• Accurate phonon blockade detector composed of a quadratically coupled optomechanical system
• Generating the Schrodinger cat state in a nanomechanical resonator coupled to a charge qubit
• Multi-path photon-phonon converter in optomechanical system at single-quantum level
• Generation of single entangled photon-phonon pairs via an atom-photon-phonon interaction
• Hybrid photon-phonon blockade
• Kicked nonlinear quantum scissors and entanglement generation
• Quantum Optical Response of a Hybrid Optomechanical Device embedded with a Qubit
• A proposal for the implementation of quantum gates in an optomechanical system via phonon blockade
• Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
• Quantum statistics of the collective excitations of an atomic ensemble inside a cavity
• Nonlinear coupler operating on Werner-like states - entanglement creation, its enhancement and preservation
• Feedback-induced nonlinearity and superconducting on-chip quantum optics
• Highly nonclassical phonon emission statistics through two-phonon loss of van der Pol oscillator
• Quantum temporal steering in a dephasing channel with quantum criticality
• Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
• Electromechanical Quantum Simulators
• Controlling properties of a hybrid Cooper pair box interacting with a nanomechanical resonator in the presence of Kerr nonlinearities and losses
• Hybrid quantum-classical chaotic NEMS
• Novel hermetically sealed device to realize unconventional phonon blockade at near-micron dimensions and milli Kelvin temperatures
• Scaling Enhancement of Photon Blockade in Output Fields
• Entanglement balance of quantum $(e,2e)$ scattering processes
• Acute entanglement and Photon/Phonons statistics in a balanced/unbalanced PT-symmetry systems
• Excitations of photon-number states in Kerr nonlinear resonator at finite temperatures
• Scrambling and quantum feedback in a nanomechanical system
• Theory of Andreev Blockade in a Double Quantum Dot with a Superconducting Lead
• Mechanical Squeezed-Fock Qubit: Towards Quantum Weak-Force Sensing
• Ultrastrong Coupling of a Qubit with a Nonlinear Optical Resonator
• Selective excitations of a Kerr-nonlinear resonator: exactly solvable approach
• Antibunching via cooling by heating
• Phonon trapping states as a witness for generation of phonon blockade in a hybrid micromaser system
• Optical response properties of hybrid electro-opto-mechanical system interacting with a qubit
• Collective radiance with NV centers coupled to nonlinear phononic waveguides