Supersymmetry and the spontaneous breakdown of PT symmetry

Abstract

The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT. In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with N-fold supersymmetry and quasi-exact solvability in certain special cases are pointed out.

11 pages, 12 figures, Latex2e, amssymb, cite and graphicx. v2: a comment and two references added. v3: minor changes, and two references updated

References in corpus (5)

• Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
• PT-symmetric quantum mechanics
• General Forms of a N-fold Supersymmetric Family
• Nonlinear Supersymmetry, Quantum Anomaly and Quasi-Exactly Solvable Systems
• Conservation of pseudo-norm in PT symmetric quantum mechanics

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