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arXiv:1905.08335 · Physical Review A

Cavity-induced mirror-mirror entanglement in a single-atom Raman laser

Berihu Teklu, Tim Byrnes, Faisal Shah Khan

Published Feb 20, 2018• 43 citations
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Abstract

We address an experimental scheme to analyze the optical bistability and the entanglement of two movable mirrors coupled to a two-mode laser inside a doubly resonant cavity. With this aim we investigate the master equations of the atom-cavity subsystem in conjunction with the quantum Langevin equations that describe the interaction of the mirror cavity. The parametric amplification-type coupling induced by the two-photon coherence on the optical bistability of the intracavity mean photon numbers is found and investigated. Under this condition, the optical intensities exhibit bistability for all large values of cavity laser detuning. We also provide numerical evidence for the generation of strong entanglement between the movable mirrors and show that it is robust against environmental thermalization.

DOI
10.1103/physreva.97.023829

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We address an experimental scheme to analyze the optical bistability and the entanglement of two movable mirrors coupled to a two-mode laser inside a doubly resonant cavity. With this aim we investigate the master equations of the atom-cavity subsystem in conjunction with the quantum Langevin equations that describe the interaction of the mirror cavity. The parametric amplification-type coupling induced by the two-photon coherence on the optical bistability of the intracavity mean photon numbers is found and investigated. Under this condition, the optical intensities exhibit bistability for all large values of cavity laser detuning. We also provide numerical evidence for the generation of strong entanglement between the movable mirrors and show that it is robust against environmental thermalization.
We analyze the optical bistability and the entanglement of two movable mirrors coupled to a two-mode laser in a doubly resonant cavity. We show that in stark contrast to the usual red-detuned condition for observing bistability in single-mode optomechanics, the optical intensities exhibit bistability for all values of cavity laser detuning due to intermode coupling induced by two-photon atomic coherence. Interestingly, an unconventional bistability with “ribbon”-shaped hysteresis can be observed for a certain range of cavity laser detuning. We also demonstrate that the atomic coherence leads to a strong entanglement between the movable mirrors in the adiabatic regime. Surprisingly, the mirror–mirror entanglement is shown to persist for environment temperatures of the phonon bath up to 12 K using experimental parameters.
We propose an experimental scheme for entangling two macroscopic mechanical resonators (movable mirrors) by their coupling to the two-mode fields of a correlated-emission laser inside a doubly resonant cavity. With this aim we investigate the quantum Langevin equations that describe the interaction of the field-mirror system in conjuction with the master equation of the correlated-emission laser. We show that the steady-state entanglement of two mirrors as well as that of two-mode fields can be obtained in the regime of strong field-mirror coupling when the input lasers are scattered at the anti-Stokes sidebands. Remarkably, the degree of entanglement for both the mirror pair and the field pair can be controlled by an external field driving the gain medium. Our scheme is able to entangle two macroscopic objects with current state-of-the-art experimental apparatus.
We propose an experimental scheme for entangling two macroscopic mechanical resonators (movable mirrors) by their coupling to the two-mode fields of a correlated-emission laser inside a doubly resonant cavity. With this aim we investigate the quantum Langevin equations that describe the interaction of the field-mirror system in conjuction with the master equation of the correlated-emission laser. We show that the steady-state entanglement of two mirrors as well as that of two-mode fields can be obtained in the regime of strong field-mirror coupling when the input lasers are scattered at the anti-Stokes sidebands. Remarkably, the degree of entanglement for both the mirror pair and the field pair can be controlled by an external field driving the gain medium. Our scheme is able to entangle two macroscopic objects with current state-of-the-art experimental apparatus.
We investigate the generation and the evolution of continuous-variable (CV) entanglement from a laser-driven four-state atom inside a doubly resonant cavity under Raman excitation. Two transitions in the four-state atom independently interact with the two cavity modes, while two other transitions are driven by coupling laser fields. By including the atomic relaxation as well as cavity losses, we show that the CV entanglement with large mean number of photons can be generated in our scheme. We also show that the intensity of the coupling laser fields can influence effectively the entanglement period of the cavity field. Different from the conventional resonant excitation scheme where zero one-photon detuning are required, it is found that the intensity and period of entanglement between the two cavity modes as well as the total mean photon number of the cavity field can be adjusted by properly modulating the frequency detuning.
In this paper we propose a scheme in which two-mode entanglement in a steady state is produced by using two lasers to resonantly drive a single four-level atom embedded inside a two-mode optical cavity. In this scheme, atomic coherence induced by a classical laser plays an important role in the process of preparing the entangled state. With the coupling of a strong control field, direct two-photon transition is generated and the relatively weak pump field induces the parametric interaction between two photons, which makes them entangle with each other. By numerical calculation, we find that the degree of entanglement depends strongly on the Rabi frequencies of the classical laser fields and the cavity losses.
We propose a scheme for the entanglement generation of two micromechanical mirrors through two-mode fields generated by a correlated emission laser source in a doubly resonant cavity. The coherence between upper and lower levels is generated in a cascade-driven scheme using two external classical fields. Two input laser fields are both tuned at the Stokes sidebands such that cooling and entanglement of micromechanical mirrors are realizable. We investigate two different conditions for entanglement generation. We show controllable entanglement of both two-mode fields and two mirrors in the steady state. The proposed scheme for the macroscopic entanglement generation is robust against environmental thermalization and in favor of a large cavity dissipation rate.