Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
- URL: http://arxiv.org/abs/2301.02247v3
- Date: Tue, 24 Oct 2023 14:05:47 GMT
- Title: Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
- Authors: Karin Sim, Nicol\`o Defenu, Paolo Molignini, R. Chitra
- Abstract summary: We study the dynamics of an exactly solvable non-Hermitian system, hosting both $mathcalPT$-symmetric and $mathcalPT$-broken modes.
In contrast to Hermitian systems, our study reveals that PT -broken time evolution leads to defect freezing and hence the violation of adiabaticity.
- Score: 1.2289361708127877
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Non-Hermiticity in quantum Hamiltonians leads to nonunitary time evolution
and possibly complex energy eigenvalues, which can lead to a rich phenomenology
with no Hermitian counterpart. In this work, we study the dynamics of an
exactly solvable non-Hermitian system, hosting both $\mathcal{PT}$-symmetric
and $\mathcal{PT}$-broken modes subject to a linear quench. Employing a fully
consistent framework, in which the Hilbert space is endowed with a nontrivial
dynamical metric, we analyze the dynamics of the generated defects. In contrast
to Hermitian systems, our study reveals that PT -broken time evolution leads to
defect freezing and hence the violation of adiabaticity. This physics
necessitates the so-called metric framework, as it is missed by the oft used
approach of normalizing quantities by the time-dependent norm of the state. Our
results are relevant for a wide class of experimental systems.
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