Quantum dynamics of non-Hermitian many-body Landau-Zener systems

• URL: http://arxiv.org/abs/2304.03471v3
• Date: Sat, 28 Oct 2023 11:57:52 GMT
• Title: Quantum dynamics of non-Hermitian many-body Landau-Zener systems
• Authors: Rajesh K. Malla, Julia Cen, Wilton J. M. Kort-Kamp, Avadh Saxena
• Abstract summary: We develop a framework to solve a large class of linearly driven non-Hermitian quantum systems. We find that there exists a new conservation law, unique to this class of models, that describes the simultaneous growth of the unnormalized wavefunctions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop a framework to solve a large class of linearly driven non-Hermitian quantum systems. Such a class of models in the Hermitian scenario is commonly known as multi-state Landau-Zener models. The non-hermiticity is due to the anti-Hermitian couplings between the diabatic levels. We find that there exists a new conservation law, unique to this class of models, that describes the simultaneous growth of the unnormalized wavefunctions. These models have practical applications in Bose-Einstein condensates, and they can describe the dynamics of multi-species bosonic systems. The conservation law relates to a pair-production mechanism that explains the dissociation of diatomic molecules into atoms. We provide a general framework for both solvable and semiclassically solvable non-Hermitian Landau-Zener models. Our findings will open new avenues for a number of diverse emergent phenomena in explicitly time-dependent non-Hermitian quantum systems.

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