Reconfiguration of quantum states in $\mathcal{P}T$-symmetric quasi-one dimensional lattices

Abstract

We demonstrate mesoscopic transport through quantum states in quasi-1D lattices maintaining the combination of parity and time-reversal symmetries by controlling energy gain and loss. We investigate the phase diagram of the non-Hermitian system where transitions take place between unbroken and broken $\mathcal{P}\mathcal{T}$-symmetric phases via exceptional points. Quantum transport in the lattice is measured only in the unbroken phases in the energy band-but not in the broken phases. The broken phase allows for spontaneous symmetry-broken states where the cross-stitch lattice is separated into two identical single lattices corresponding to conditionally degenerate eigenstates. These degeneracies show a lift-up in the complex energy plane, caused by the non-Hermiticity with $\mathcal{P}\mathcal{T}$-symmetry.

12 pages, 7 figures

References in corpus (5)

• Making Sense of Non-Hermitian Hamiltonians
• The physics of exceptional points
• Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
• Exceptional Points in Atomic Spectra
• Exceptional points in coupled dissipative dynamical systems

Cited by in corpus (1)

• Non-orientability induced PT phase transition in Moebius ladder lattices