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arXiv:2305.11491 · Physical Review A

Entanglement generation and detection in split exciton-polariton condensates

Jingyan Feng, Hui Li, Zheng Sun, Tim Byrnes

Published Nov 1, 2023• 5 citations
arXivHTMLPDF

Abstract

We propose a method of generating and detecting spatially defined entanglement in exciton-polariton condensates at steady state. In our scheme we first create a spinor polariton condensate, such that steady-state squeezing is obtained under a one-axis twisting interaction. Then the condensate is split either physically or virtually, which results in entanglement generated between the two parts. A virtual split means that the condensate is not physically split, but its near-field image is divided into two parts, and the spin correlations are deduced from polarization measurements in each half. We theoretically model and examine the logarithmic negativity criterion and several correlation-based criteria to show that entanglement exists under experimentally achievable parameters.

DOI
10.1103/physreva.108.053301

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We propose a method of generating and detecting spatially defined entanglement in exciton-polariton condensates at steady state. In our scheme we first create a spinor polariton condensate, such that steady-state squeezing is obtained under a one-axis twisting interaction. Then the condensate is split either physically or virtually, which results in entanglement generated between the two parts. A virtual split means that the condensate is not physically split, but its near-field image is divided into two parts, and the spin correlations are deduced from polarization measurements in each half. We theoretically model and examine the logarithmic negativity criterion and several correlation-based criteria to show that entanglement exists under experimentally achievable parameters.
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Abstract We investigate and model a method for producing entanglement between two spatially separated Bose–Einstein condensates (BECs). In our approach, a spin-polarized BEC is squeezed using a (S z )2 interaction, then are split into two separate clouds. After the split, we consider that the particle number in each cloud collapses to a fixed number. We show that this procedure is equivalent to applying an interaction corresponding to squeezing each cloud individually plus an entangling operation. We analyze the system’s inter-well entanglement properties and show that it can be detected using correlation-based entanglement criteria. The nature of the states is illustrated by Wigner functions and have the form of a correlated squeezed state. The conditional Wigner function shows high degrees of non-classicality for dimensionless squeezing times beyond 1 / N , where N is the number of particles per BEC.
We investigate the steady state of two single-mode uniform spatially separated polaritonic conden- sates exposed to resonant pumping with entangled pairs of photons. We demonstrate the principal possibility of driving the system to an entangled state despite its exposure to noises arising from the excitonic reservoir and photon leakage through the microcavity mirrors. Estimates are provided for the flux of entangled particles required to drive the system into a steady state that violates the partial-transpose criterion for entanglement. Furthermore, we trace the evolution of the system after a sudden disappearance of the entangled pumping. Our analysis provides estimates for the entanglement lifetime in a system of two exciton-polariton condensates
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Spin changing collisions in alkaline Bose-Einstein condensates can be employed to generate highly entangled atomic quantum states. Here, we will report on the generation of two classes of entangled states. Firstly, we demonstrate the generation of two-mode squeezed vacuum states and record their characteristic quadrature correlations by atomic homodyning. We prove that the correlations fulfill Reid’s criterion [1] for continuous-variable Einstein-Podolsky-Rosen entanglement. The homodyne measurements allow for a full tomographic reconstruction, yielding a two-mode squeezed state with a 78% fidelity. The created state can be directly applied to atom interferometry, as is exemplified by an atomic clock measurement beyond the Standard Quantum Limit. Secondly, we demonstrate entanglement between two spatially separated atomic modes. The entangled state is obtained by spatially splitting a Twin Fock state of indistinguishable atoms along a line of zero density. This structure of two separated atomic modes is obtained by utilizing an excited trap mode. The non-classical correlations between these atomic modes are verified by applying a novel entanglement criterion especially sensitive for our case. The method opens a path to exploit the recent success in the creation of many-particle entanglement in ultracold atoms for the field of quantum information, where individually addressable subsystems are required. Finally, we will show how the measurement protocol can be extended to perform a Bell test of quantum nonlocality. [1] M. Reid, Phys. Rev. A 40, 913-923 (1989)