Entanglement and spin squeezing in non-Hermitian phase transitions

Abstract

We show that non-Hermitian dynamics generate substantial entanglement in many-body systems. We consider the non-Hermitian Lipkin-Meshkov-Glick model and show that its phase transition occurs with maximum multiparticle entanglement: there is full N-particle entanglement at the transition, in contrast to the Hermitian case. The non-Hermitian model also exhibits more spin squeezing than the Hermitian model, showing that non-Hermitian dynamics are useful for quantum metrology. Experimental implementations with trapped ions and cavity QED are discussed.

5 pages + appendix

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Cited by in corpus (9)

• Cavity assisted single- and two-mode spin-squeezed states via phase-locked atom-photon coupling
• Non-Hermitian bidirectional robust transport
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• Generation of Bell, W and GHZ states via exceptional points in non-Hermitian quantum spin systems
• Exceptional points near first- and second-order quantum phase transitions
• Symmetry-protected localized states at defects in non-Hermitian systems
• Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions
• Adiabatic transport of qubits around a black hole
• Can a photonic thermalization gap arise in disordered non-Hermitian Hamiltonian systems?