State-dependent photon blockade via quantum-reservoir engineering
arXiv:1407.5779 · doi:10.1103/PhysRevA.90.033831
Abstract
An arbitrary initial state of an optical or microwave field in a lossy driven nonlinear cavity can be changed, in the steady-state limit, into a partially incoherent superposition of only the vacuum and the single-photon states. This effect is known as single-photon blockade, which is usually analyzed for a Kerr-type nonlinear cavity parametrically driven by a single-photon process assuming single-photon loss mechanisms. We study photon blockade engineering via a squeezed reservoir, i.e., a quantum reservoir, where only two-photon absorption is allowed. Namely, we analyze a lossy nonlinear cavity parametrically driven by a two-photon process and allowing two-photon loss mechanisms, as described by the master equation derived for a two-photon absorbing reservoir. The nonlinear cavity engineering can be realized by a linear cavity with a tunable two-level system via the Jaynes-Cummings interaction in the dispersive limit. We show that by tuning properly the frequencies of the driving field and the two-level system, the steady state of the cavity field can be the single-photon Fock state or a partially incoherent superposition of several Fock states with photon numbers, e.g., (0,2), (1,3), (0,1,2), or (0,2,4). We observe that an arbitrary initial coherent or incoherent superposition of Fock states with an even (odd) number of photons can be changed into a partially incoherent superposition of a few Fock states of the same photon-number parity. A general solution for an arbitrary initial state is a weighted mixture of the above two solutions with even and odd photon numbers, where the weights are given by the probabilities of measuring the even and odd numbers of photons of the initial cavity field, respectively. Thus, in contrast to the standard photon blockade, we prove that the steady state in the engineered photon blockade, can depend on its initial state.
16 pages, 15 figures, 1 table
References in corpus (45)
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
- Review: Semiconductor Quantum Light Sources
- The photon blockade effect in optomechanical systems
- Coherent generation of nonclassical light on a chip via photon-induced tunneling and blockade
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Single-photon Optomechanics
- Symmetries and conserved quantities in Lindblad master equations
- Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
- Dispersive Photon Blockade in a Superconducting Circuit
- Photon blockade in quadratically coupled optomechanical systems
- Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
- Steady-state Mechanical Squeezing in an Optomechanical System via Duffing Nonlinearity
- Nonlinear spectroscopy of photons bound to one atom
- Quantum-optical catalysis: generating "Schroedinger kittens" by means of linear optics
- Two-photon and three-photon blockades in driven nonlinear systems
- Qubit-induced phonon blockade as a signature of quantum behavior in nanomechanical resonators
- Photon-photon interactions in cavity electromagnetically induced transparency
- Performance of cavity-parametric amplifiers, employing Kerr nonlinearites, in the presence of two-photon loss
- Two-photon gateway in one-atom cavity quantum electrodynamics
- Single-photon tunneling
- Stabilizing a Bell state of two superconducting qubits by dissipation engineering
- Kerr nonlinear coupler and entanglement
- Quantum-scissors device for optical state truncation: A proposal for practical realization
- Josephson parametric phase-locked oscillator and its application to dispersive readout of superconducting qubits
- Probing the ladder of dressed states and nonclassical light generation in quantum dot-cavity QED
- Detecting phonon blockade with photons
- Steady state entanglement of two superconducting qubits engineered by dissipation
- Two-mode optical state truncation and generation of maximally entangled states in pumped nonlinear couplers
- Multiphoton blockades in pulsed regimes beyond the stationary limits
- Criteria for dynamically stable decoherence-free subspaces and incoherently generated coherences
- Photon-number entangled states generated in Kerr media with optical parametric pumping
- Phase-space interference of states optically truncated by quantum scissors: Generation of distinct superpositions of qudit coherent states by displacement of vacuum
- Backaction of a driven nonlinear resonator on a superconducting qubit
- Optical-state truncation and teleportation of qudits by conditional eight-port interferometry
- Dissipation in systems of linear and nonlinear quantum scissors
- Squeezed vacuum reservoir effect for entanglement decay in nonlinear quantum scissors system
- Exploiting Kerr Cross Non-linearity in Circuit Quantum Electrodynamics for Non-demolition Measurements
- Generation of two-mode entangled states by quantum reservoir engineering
- Dephasing due to Intermode Coupling in Superconducting Stripline Resonators
- Selective truncations of an optical state using projection synthesis
- Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field
- Multi-phonon relaxation and generation of quantum states in a nonlinear mechanical oscillator
- Nonlinear dissipation can combat linear loss
- Coherent-feedback-induced photon blockade and optical bistability by an optomechanical controller
Cited by in corpus (33)
- Microwave photonics with superconducting quantum circuits
- Nonreciprocal Photon Blockade
- Tunable photon blockade in a hybrid system consisting of an optomechanical device coupled to a two-level system
- Tunable multiphonon blockade in coupled nanomechanical resonators
- Exceptional Photon Blockade: Engineering Photon Blockade with Chiral Exceptional Points
- Multiphoton blockade in the two-photon Jaynes-Cummings model
- Unconventional photon blockade in three-mode optomechanics
- Two-photon blockade and photon-induced tunneling generated by squeezing
- Enhancement of photon blockade effect via quantum interference
- A review on quantum information processing in cavities
- Quantum correlations and entanglement in a model comprised of a short chain of nonlinear oscillators
- Conventional and unconventional photon blockade effects in an atom-cavity system
- 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
- -photon blockade with an -photon parametric drive
- Generating and detecting entangled cat states in dissipatively coupled degenerate optical parametric oscillators
- A tunable quantum dissipator for active resonator reset in circuit QED
- Quantum Correlations in the Kerr Ising Model
- Higher order nonclassicalities of finite dimensional coherent states: A comparative study
- Retrieval of photon blockade effect in the dispersive Jaynes-Cummings model
- Non-conservative Forces via Quantum Reservoir Engineering
- Scheme for realizing quantum dense coding via entanglement swapping
- Hybrid photon-phonon blockade
- Phase-locking at low-level of quanta
- Nonreciprocal transition between two nondegenerate energy levels
- Coherent-cluster-state generation in networks of degenerate optical parametric oscillators
- Disorder-Induced Strongly Correlated Photons in Waveguide QED
- Dynamical Blockade Optimizing via Particle Swarm Optimization Algorithm
- Excitations of photon-number states in Kerr nonlinear resonator at finite temperatures
- Protecting coherence by reservoir engineering: intense bath disturbance
- Perfect Quantum State Transfer in Glauber-Fock Cavity Array
- Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system
- Phonon trapping states as a witness for generation of phonon blockade in a hybrid micromaser system