Hamiltonian non-Hermicity: Accurate dynamics with the multiple Davydov D2Ansätze

Area of Science:

• Quantum mechanics
• Computational physics
• Many-body systems

Background:

• Non-Hermitian systems are crucial for understanding open quantum systems and complex phenomena.
• Accurate numerical methods are needed to simulate these systems.

Purpose of the Study:

• To assess the applicability of the time-dependent variation with multiple Davydov Ansätze (mDA) method to non-Hermitian systems.
• To demonstrate the mDA method's effectiveness on relevant physical models.

Main Methods:

• Numerical simulation using the time-dependent variation with multiple Davydov Ansätze (mDA).
• Application to three specific non-Hermitian systems: dissipative Landau-Zener transitions, multimode Jaynes-Cummings model, and dissipative Holstein-Tavis-Cummings model.

Main Results:

• The mDA method accurately describes all three studied non-Hermitian systems.
• The method proves effective for complex many-body non-Hermitian systems.

Conclusions:

• The mDA method is a versatile and powerful numerical tool for non-Hermitian quantum systems.
• This approach can be extended to study phenomena like skin effects, excited-state dynamics, and spectral topology.