Gangat Adil A, McCulloch Ian P, Kao Ying-Jer
Department of Physics, National Taiwan University, Taipei, 10607, Taiwan.
ARC Centre of Excellence for Engineered Quantum Systems, School of Mathematics and Physics, The University of Queensland, St. Lucia, QLD 4072, Australia.
Sci Rep. 2018 Feb 27;8(1):3698. doi: 10.1038/s41598-018-21845-5.
The driven-dissipative Bose-Hubbard model can be experimentally realized with either negative or positive onsite detunings, inter-site hopping energies, and onsite interaction energies. Here we use one-dimensional matrix product density operators to perform a fully quantum investigation of the dependence of the non-equilibrium steady states of this model on the signs of these parameters. Due to a symmetry in the Lindblad master equation, we find that simultaneously changing the sign of the interaction energies, hopping energies, and chemical potentials leaves the local boson number distribution and inter-site number correlations invariant, and the steady-state complex conjugated. This shows that all driven-dissipative phenomena of interacting bosons described by the Lindblad master equation, such as "fermionization" and "superbunching", can equivalently occur with attractive or repulsive interactions.
驱动耗散玻色-哈伯德模型可以通过负或正的在位失谐、近邻跃迁能和在位相互作用能在实验中实现。在这里，我们使用一维矩阵乘积密度算符对该模型的非平衡稳态对这些参数符号的依赖性进行全量子研究。由于林德布拉德主方程中的一种对称性，我们发现同时改变相互作用能、跃迁能和化学势的符号会使局域玻色子数分布和近邻数关联不变，且稳态复共轭。这表明由林德布拉德主方程描述的相互作用玻色子的所有驱动耗散现象，如“费米子化”和“超聚束”，在吸引或排斥相互作用下都能等效发生。
