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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

Geometric phases between biorthogonal states

arXiv

Authors: Xiao-Dong Cui, Yujun Zheng

Year

2013

Paper ID

31798

Status

Preprint

Abstract Read

~2 min

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Abstract

We investigate the evolution of a state which is dominated by a finite-dimensional non-Hermitian time-dependent Hamiltonian operator with a nondegenerate spectrum by using a biorthonormal approach. The geometric phase between any two states, biorthogonal or not, are generally derived by employing the generalized interference method. The counterpart of Manini-Pistolesi non-diagonal geometric phase in the non-Hermitian setting is taken as a typical example.

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We investigate the evolution of a state which is dominated by a finite-dimensional non-Hermitian time-dependent Hamiltonian operator with a nondegenerate spectrum by using a...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1311.5631 [2] arXiv https://arxiv.org/abs/1311.5631 [3] Publisher https://arxiv.org/abs/1311.5631

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