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Open Quantum Systems Decoherence Quantum Simulation

Multiply Degenerate Exceptional Points and Quantum Phase Transitions

arXiv

Authors: Denis I. Borisov, Frantisek Ruzicka, Miloslav Znojil

Year

2014

Paper ID

45783

Status

Preprint

Abstract Read

~2 min

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Abstract

The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato's exceptional-point parameters becomes real. A new family of finite-dimensional and time-parametrized quantum-lattice models with such a property is proposed and studied. All of them exhibit, at a real exceptional-point time t=0, the Jordan-block spectral degeneracy structure of some of their observables sampled by Hamiltonian H(t) and site-position Q(t). The passes through the critical instant t=0 are interpreted as schematic simulations of non-equivalent versions of the Big-Bang-like quantum catastrophes.

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The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato's exceptional-point parameters becomes real.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1412.6634 [2] arXiv https://arxiv.org/abs/1412.6634 [3] Publisher https://arxiv.org/abs/1412.6634

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