Hannover 2016 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 33: Quantum Effects: Entanglement and Decoherence I

Q 33.8: Talk

Wednesday, March 2, 2016, 12:45–13:00, f442

Testing No-signalling principle in an optical parity-time symmetric system — •Lida Zhang and Jörg Evers — Max Planck Institute for Nuclear Physics, 69117 Heidelberg

As compared to traditional Hermitian dynamics, recently, a new class of Hamiltonians respecting parity-time (PT) reflection symmetry have revealed a great variety of fascinating phenomenon in optical system, i.e., nonreciprocal propagation, negative refrective index, etc.. We propose a novel scheme to test no-signalling principle in an atomic system where an optical PT-symmetric Hamiltonian is formed. We first create a vector laser beam pair having inseparable structures with respect to the different degrees of freedom, i.e., space distribution and polarization, which serves as a classical analogy of quantum-entangled state. The beam pair then passes through two different paths, where the laser beam experiences PT-symmetric evolution at one path and Hermitian evolution at the other. Finally, the beam pair is detected at two stations called “PT” and “Hermitian”, which are remote from each other. It is found that the single probability detected at the “Hermitian” station is not equal to the summation of joint probabilities over the “PT” station, thus violating the no-signalling principle. Since the detection is independent from the evolution process, we thus find that the no-signalling violation originates from the non-Hermiticity of the optical PT-symmetric Hamiltonian. Furthermore, based on the analytical findings, we show that there is linear orrelation between the parameter characterizing no-signalling violation and the order parameter defining the PT-symmetry transition.