Emergence of chaos and controlled photon transfer in a cavity-QED network

Abstract

We develop optimal protocols for efficient photon transfer in a cavity-QED network. This is executed through stimulated Raman adiabatic passage scheme where time-varying inductive or capacitive couplings (with carefully chosen sweep rate) play a key role. We work in a regime where the semiclassical limit is valid, and we investigate the dynamical chaos caused by the light-matter coupling. We show that this plays a crucial role in estimating the lower bound on the sweep rate for ensuring efficient photon transfer. We present Hermitian as well as an open quantum system extension of the model. Without loss of generality, we study the three cavity and four cavity cases and our results can be adapted to larger networks. Our analysis is also significant in designing transport protocols aimed for nonlinear open quantum systems, in general.

Quantum signatures of chaos in a cavity-QED-based stimulated Raman adiabatic passage

“…In the present paper, I extend the analysis beyond the semiclassical treatment in Ref. 16 and handle the problem in a quantum many-body framework. I show that the quantum process (corresponding to the semiclassical STIRAP) undergoes a spreading of its evolved many-body state within the chaotic parameter window, predicted by semiclassical theory.…”

“…Cavity-QED system is an interesting platform that holds immense potential of implementing quantum networks [1][2][3][4][5][6] , quantum information processing and communication 1,[7][8][9] , efficient quantum simulators for many-body systems [10][11][12][13] etc. The light-matter interaction in a cavity-QED offers Jaynes-Cumming (JC)like [14][15][16] and Bose-Hubbard-like 17 nonlinearities at various regimes of parameters.…”

“…Such nonlinear features result in exciting novel phenomena such as photon self-trapping 14,15,18 , nonlinear transport 19,20 , and chaos 16,[21][22][23] .…”

“…The presence of 'dark state' connecting terminal nodes of a network, facilitates a robust adiabatic transfer which is immune to dissipation originating from intermediate nodes 48,49 . Furthermore, a nonlinear STIRAP explores phases of varying integrability during a single sweep and is an excellent process to investigate chaos 16,34,50,51 . The transition from non-chaotic (or regular) to chaotic phase simply by controlling tunable system parameter makes nonlinear STIRAP immensely interesting.…”

“…Efficient photon transfer protocol in a precisely controllable and scalable cavity-QED network is proposed in Ref. 16, where, chaos emerges during a STIRAP due to JC-like nonlinearity. In the present paper, I extend the analysis beyond the semiclassical treatment in Ref.…”