Multiphoton blockades in pulsed regimes beyond stationary limits

Abstract

We demonstrate multiphoton blockades (PB) in the pulsed regime by using Kerr nonlinear dissipative resonator driven by a sequence of Gaussian pulses. It is shown that the results obtained for single-photon, two-photon and three-photon blockades in the pulsed excitation regime differ considerably from analogous results obtained for the case of continuous-wave (cw) driving. We strongly demonstrate that for the case of cw pumping of the Kerr-nonlinear resonator there are fundamental limits on populations of lower photonic number-states (with n = 0, 1, 2, 3). Thus, such detailed comparison demonstrates that PB due to excitation with a suitable photon pulses is realized beyond the fundamental limits established for cw excitations. We analyze photon-number effects and investigate phase-space properties of PB on the base of photon number populations, the second-order correlation functions and the Wigner functions in phase space. Generation of Fock states due to PB in the pulsed regime is analysed in details.

Excitations of photon-number states in Kerr nonlinear resonator at finite temperatures

“…Thus, in the case of strong nonlinearity the oscillatory energy levels are well resolved and spectroscopic selective excitation of transitions between Fock states at the level of a few quanta becomes to be possible. This regime has been demonstrated in the photon blockade (PB) [3][4][5][6][7], generation of Fock states and superposition states in KNRs [7][8][9][10] and on changing PB into electromagnetically-induced transparency [11]. Note, that nonstationary PB in a context of Fock states generation was predicted in [12] for short-time evolution of a kicked KNR and then in [13].…”

“…Thus, we investigate production of photonic states for an arbitrary interaction time-intervals including also timeintervals exceeding the characteristic time of dissipative processes, t ≫ γ −1 . In the cited paper [6], only the case of KNR with the mean number of reservoir photons N = 0.001 has been considered. In addition to this investigation, bellow we present systematic analyse of KNR for the wide range of thermal photon numbers including also vacuum case, N = 0.…”

“…For this goal we investigate selective excitation in the pulsed regime, considering KNR driven by a sequence of classical Gaussian pulses separated by time intervals. This system has been used in the field of PB and generation of Fock states [6,8,9] as well as for production of superpositions states in a mesoscopic range [28] and for demonstration of chaos at a low level of quanta [29,30].…”

Selective excitations of a Kerr-nonlinear resonator: exactly solvable approach

“…An analogous phenomenon of phonon blockade was predicted for an artificial superconducting atom coupled to a nanomechanical resonator [11], and the polariton blockade effect due to polaritonpolariton interactions has also been considered [12]. Recently, one-photon PB was considered for dispersive qubitfield interactions in a superconductive coplanar waveguide cavity [13], with time-modulated input [14], and for the train of pulses [15,16]. Two-photon blockades as well have been investigated [15,17].…”

Enhancement of the two-photon blockade in a strong-coupling qubit-cavity system

“…Another method is based on nonlinear quantum iruncation. This nonlinear quantum truncation is usually referred to as the nonlinear optical-state truncation, or nonlinear scissors [12]. The required nonlinearity can be induced by a strong interaction between the cavity mode and the natural (or artificial) atom.…”