Abstract
A coherently prepared asymmetric double semiconductor quantum well (QW) is proposed to realize parity-time (PT) symmetry. By appropriately tuning the laser fields and the pertinent QW parameters, PT-symmetric optical potentials are obtained by three different methods. Such a coherent QW system is reconfigurable and controllable, and it can generate new approaches of theoretically and experimentally studying PT-symmetric phenomena.
Highlights
The non-Hermitian parity-time (PT)-symmetric Hamiltonians, which were firstly proposed by Bender and Boettcher in 1998, have attracted great attention[1]
We demonstrate that PT-symmetric optical potentials, such as coupled optical waveguides, one-dimensional (1D) and two-dimensional (2D) PT-symmetric optical lattices can be realized by different methods
The results clearly show that nR is an even functions of x and y, while nI is an odd functions of x and y, 2D PT-symmetric optical lattices is realized in quantum well (QW) systems
Summary
The non-Hermitian parity-time (PT)-symmetric Hamiltonians, which were firstly proposed by Bender and Boettcher in 1998, have attracted great attention[1]. We propose to use a coherently prepared asymmetric double semiconductor QWs to obtain PT symmetry Such QW systems have been proved to have the possibility to realize quantum coherence and interference[28,29,30]. Compared with these atomic systems, semiconductor QW systems have designable and flexible of energy levels, and they are easy to be integrated and stable for practical application In such systems large nonlinearity can be realized assisted by EIT36–38, which makes it possible to observe traveling effects of lights in non-Hermitian nonlinear optical systems[39,40,41].
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