Heralded magnetism in non-Hermitian atomic systems

Abstract

Quantum phase transitions are usually studied in terms of Hermitian Hamiltonians. However, cold-atom experiments are intrinsically non-Hermitian due to spontaneous decay. Here, we show that non-Hermitian systems exhibit quantum phase transitions that are beyond the paradigm of Hermitian physics. We consider the non-Hermitian XY model, which can be implemented using three-level atoms with spontaneous decay. We exactly solve the model in one dimension and show that there is a quantum phase transition from short-range order to quasi-long-range order despite the absence of a continuous symmetry in the Hamiltonian. The ordered phase has a frustrated spin pattern. The critical exponent $\nu$ can be 1 or 1/2. Our results can be seen experimentally with trapped ions, cavity QED, and atoms in optical lattices.

7 pages + appendix

References in corpus (10)

• The physics of exceptional points
• Non-local propagation of correlations in long-range interacting quantum systems
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Phase transitions in the complex plane of physical parameters
• Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains
• Transverse Meissner Physics of Planar Superconductors with Columnar Pins

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