Heralded Magnetism in Non-Hermitian Atomic Systems
By Tony E. Lee, Ching-Kit Chan. 2014
178 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Physical and Theoretical Chemistry, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/70851a084bf3ec06a9c11b5a8ab10b0f0eea8023
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Symmetry and Topology in Non-Hermitian Physics (2018, unknown): “[53] T.”
- Quantum trajectories and open many-body quantum systems (2014, background): “Recently, Lee and Chan [343] have studied the steady-state associated with evolution under a non-Hermitian Hamiltonian.”
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos (2019, background): “[37] T.”