Collapses and revivals of exciton emission in a semiconductor microcavity: Detuning and phase-space filling effects

Abstract

We investigate exciton emission of quantum well embedded in a semiconductor microcavity. The analytical expressions of the light intensity for the cases of excitonic number state and coherent state are presented by using secular approximation. Our results show that the effective exciton-exciton interaction leads to the appearance of collapse and revival of the light intensity. The revival time is twice compared the coherent state case with that of the number state. The dissipation of the exciton-polariton lowers the revival amplitude but does not alter the revival time. The influences of the detuning and the phase-space filling are studied. We find that the effect of the higher-order exciton-photon interaction may be removed by adjusting the detuning.

Two-dimensional infrared spectroscopy of vibrational polaritons

“…Thus, the observation of vibrational-polariton pump-probe (16) and 2D IR signals necessarily indicates that this free-bosonic picture does not generally hold, and that anharmonicities in the system must exist to give rise to nonlinear spectra. In inorganic semiconductor exciton-polaritons, effective anharmonicities are induced by Coulomb scattering and the so-called phase-space filling mechanism due to Pauli exclusion of electrons and holes (21,33). For vibrations, nuclear and electrical (or dipolar) anharmonicity (34,35) of the C-O stretch causes deviations from harmonic behavior.…”

Tunable Bistability in Hybrid Bose-Einstein Condensate Optomechanics

“…Recent discussion on bistable behaviour of BEC-optomechanical system 15 , high fidelity state transfer 16 17 , entanglement in optomechanics 18 19 20 21 , macroscopic tunneling of an optomechanical membrane 22 and role reversal between matter-wave and quantized light field, are directing and facilitating researchers towards achieving new mile-stones in cavity-optomechanics. Furthermore, the magnificent work on transparency in optomechanics 23 24 25 26 , dynamical localization in field of cavity-optomechanics 27 28 and the coupled arrays of micro-cavities 29 30 31 32 provide clear understanding for cavity-optomechanics. These notable achievements provide strong foundations to study complex systems and cause curiosity among researchers to explore such hybrid systems and so, a lot of work has been done in this regard 33 34 35 36 37 .…”

Eigenstates and spectrum properties of a resonant field in a Kerr-like medium

“…where M is an (N + 1) × (N + 1) tridiagonal matrix with the matrix elements T is a column vector with (N + 1) components. Now we have to solve (6) or (8) to obtain ε's values and the corresponding coefficients β j . It is interesting to mention that if eigenvalues ε(γ , ω) and polynomial f (z) = N j =0 β j z j are a solution to equation ( 6), then −ε(−γ, −ω) and the polynomial f (z) = N j =0 (−1) j β j z j must also be a solution [10,25].…”

“…In the present paper, we study a model describing the nonlinear interaction as an anharmonic oscillator with quartic anharmonicity in the rotating-wave approximation. Although we give a lot of attention to the system with highly excited Rydberg atoms in high-Q microcavities [3][4][5], our model Hamiltonian can also be used to describe semiconductor quantum wells [7,8] where the interaction between excitons [9] and photons governs the dynamics and the Bose-Einstein condensates in a tilted double well [10,11], in a optical lattice [12] or interacting with external optical field [13,14]. Due to nonlinear and quantum mechanics in the origin of the system, a variety of nonclassical effects [4,[15][16][17][18][19], such as revivals, fractional revivals and super-revivals of the wave packet, arise in the evolution of time-dependent quantum states.…”