Consistency between adiabatic and nonadiabatic geometric phases for nonselfadjoint hamiltonians
arXiv:2206.06748 · doi:10.1088/1751-8113/45/33/335301
Abstract
We show that the adiabatic approximation for nonselfadjoint hamiltonians seems to induce two non-equal expressions for the geometric phase. The first one is related to the spectral projector involved in the adiabatic theorem, the other one is the adiabatic limit of the nonadiabatic geometric phase. This apparent inconsistency is resolved by observing that the difference between the two expressions is compensated by a small deviation in the dynamical phases.
arXiv comment8 pages, 1 figure
References in corpus (10)
- Inconsistency in the application of the adiabatic theorem
- Consistency of the Adiabatic Theorem
- Geometric phase around exceptional points
- Geometric Phase for Non-Hermitian Hamiltonians and Its Holonomy Interpretation
- General Adiabatic Evolution with a Gap Condition
- Quantum response of dephasing open systems
- Berry Phase of a Resonant State
- Validity of Quantum Adiabatic Theorem
- A New Class of Adiabatic Cyclic States and Geometric Phases for Non-Hermitian Hamiltonians
- On the quasi-static evolution of nonequilibrium steady states