Quantum phase transitions in an array of coupled nanocavity quantum dots

Abstract

We investigate exciton-photon quantum phase transitions in a planar lattice of one-mode cavities containing one quantum dot. The quantum dot can be occupied by up to two excitons with opposite spin. We adopt the well-established mean-field approximation comprising an exciton order parameter and a photon coherence parameter. Calculating exciton-and photon-phase diagrams it is demonstrated that by controlling exciton-and photon-hopping energies a very rich scenario of coupled fermionic-bosonic quantum phase transitions, including, e.g., quantum phase transitions of the Hubbard model or quantum phase transitions of the light, is revealed. Moreover, our results support the interpretation of polariton Bose-Einstein condensation as only ͑polariton͒ laser coherence.

Photon correlations in a two-site nonlinear cavity system under coherent drive and dissipation

“…Initial work was mainly aimed at studying the superfluidinsulator quantum phase transition [24][25][26] of the effective Bose-Hubbard hamiltonian, [27][28][29][30][31][32] or the JC-Hubbard model [33][34][35][36][37][38][39] for arrays of CQED systems under quasiequilibrium conditions. Subsequent work dealing with coupled non-linear cavity systems has addressed the dynamics in a two-site JC model, 40,41 the use of coupled cavity systems as efficient singlephoton sources even in the presence of weak photon nonlinearities, 49 and the signatures of superfluidinsulator quantum phase transition for an infinite CQED array under pulsed coherent driving.…”

Equilibrium and disorder-induced behavior in quantum light–matter systems

“…However, the analogy to this simpler model ignores the internal structure of each site, which prevents one from exploring the increased complexity of the JCH system. The implementation of such systems has been proposed in different quantum optical setups such as planar lattices of 3 one-mode cavities each containing one quantum dot [13], photonic crystal microcavities [14], circuit quantum electrodynamics with a finite system approach [15] and in trapped ions [16]. One of the greatest advantages of all these setups is the combination of highly controllable experimental conditions and the large effective size of each site that allows for the design of mesoscopic simulators of condensed matter systems.…”

Scattering and Bound States of two Polaritons in an Array of Coupled Cavities

“…In the recent years, the investigation of the physics in one-dimensional (1D) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] and two-dimensional (2D) [14][15][16][17][18][19][20][21][22][23] array of coupled cavities has attracted a lot of attention. It is predicted that, such systems can be used in quantum information processing [1][2][3][4][5] as well as the quantum simulation of many-body systems, e.g., the quantum phase simulation [10][11][12][13][14][15][16][17][18][19][20], quantum Hall effect [21] and Bose-Einstein condensate [22].…”

“…It is predicted that, such systems can be used in quantum information processing [1][2][3][4][5] as well as the quantum simulation of many-body systems, e.g., the quantum phase simulation [10][11][12][13][14][15][16][17][18][19][20], quantum Hall effect [21] and Bose-Einstein condensate [22]. For the few-body physics of coupled cavities, many authors have studied the single-photon transmission in a 1D cavity array coupled with a single atom [1], and the dynamics of a single polariton in a 1D cavity array with each cavity coupled to an atom [2,7].…”