Finite-temperature quantum criticality in a complex-parameter plane

Abstract

A conventional quantum phase transition (QPT) occurs not only at zero temperature, but also exhibits finite-temperature quantum criticality. Motivated by the discovery of the pseudo-Hermiticity of non-Hermitian systems, we explore the finite-temperature quantum criticality in a non-Hermitian PT -symmetric Ising model. We present the complete set of exact eigenstates of the non-Hermitian Hamiltonian, based on which the mixed-state fidelity in the context of biorthogonal bases is calculated. Analytical and numerical results show that the fidelity approach to finite-temperature QPT can be extended to the non-Hermitian Ising model. This paves the way for experimental detection of quantum criticality in a complex-parameter plane.

6 pages, 10 figures

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Cited by in corpus (11)

• Topological phases in Kitaev chain with imbalanced pairing
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction
• Statistical mechanics for non-Hermitian quantum systems
• Chern number in Ising models with spatially modulated real and complex fields
• Resonant generation of $p$-wave Cooper pair in non-Hermitian Kitaev chain at exceptional point
• Formation of Exceptional Points in pseudo-Hermitian Systems
• Topological phase in Kitaev chain with spatially separated pairing processes
• Ring-Frustrated Non-Hermitian $XY$ Model
• Semi-localization transition driven by a single asymmetrical tunneling
• Schrieffer-Wolff transformation for non-Hermitian systems: application for $\mathcal{P}\mathcal{T}$-symmetric circuit QED