Learn More
Under a general framework, shortcuts to adiabatic processes are shown to be possible in classical systems. We study the distribution function of the work done on a small system initially prepared at thermal equilibrium. We find that the work fluctuations can be significantly reduced via shortcuts to adiabatic processes. For example, in the classical case,(More)
Quantum mechanics and classical mechanics are distinctly different theories, but the correspondence principle states that quantum particles behave classically in the limit of high quantum number. In recent years much research has been done on extending both quantum and classical mechanics into the complex domain. These complex extensions continue to exhibit(More)
Two-dimensional PT-symmetric quantum-mechanical systems with the complex cubic potential V 12 = x 2 + y 2 + igxy 2 and the complex Hénon-Heiles potential V HH = x 2 + y 2 + ig xy 2 − x 3 /3 are investigated. Using numerical and perturbative methods, energy spectra are obtained to high levels. Although both potentials respect the PT symmetry, the complex(More)
Two formulations for constructing a non-Hermitian matrix with all real eigenvalues are studied. They are called PT symmetry and pseudo-Hermiticity in the literature. Explicit 2×2 matrices of both forms are provided. They are characterized by six real parameters and are hence more general than Hermitian matrices. The equivalence of the two formulations is(More)
  • 1