Non-Hermitian quantum walks uncover dynamical quantum phase transitions under self-normal and biorthogonal bases
Guangzhen Li, Luqi Yuan
TL;DR
This paper explores how different bases affect quantum phase transitions in non-Hermitian quantum walks.
Contribution
It reveals distinct critical times and momenta under self-normal and biorthogonal bases.
Findings
Critical times differ between self-normal and biorthogonal bases.
Critical momenta also show discrepancies in the two bases.
Experimental validation supports the theoretical analysis.
Abstract
The differences in critical times and critical momenta between self-normal and biorthogonal dynamical quantum phase transitions are revealed. The theoretical analysis is experimentally validated through multiple quench processes using a one-dimensional discrete-time non-Hermitian quantum walks.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Mechanics and Non-Hermitian Physics · Quantum Information and Cryptography