Given an initial quantum state |psi(I)> and a final quantum state |psi(F)>, there exist Hamiltonians H under which |psi(I)> evolves into |psi(F)>. Consider the following quantum brachistochroneâ€¦ (More)

Carl M. Bender, Dorje C. Brody, and Bernhard K. Meister 1Department of Physics, Washington University, St. Louis MO 63130, USA 2Blackett Laboratory, Imperial College, London SW7 2BZ, UK andâ€¦ (More)

t is possible to extract work from a quantum-mechanical system whose dynamics is governed by a time-dependent cyclic Hamiltonian. An energy bath is required to operate such a quantum engine in placeâ€¦ (More)

This paper analyses the mathematical properties of some unusual quantum states that are constructed by inserting an impenetrable barrier into a chamber confining a single particle. If the barrier isâ€¦ (More)

Gen Kimura,* Bernhard K. Meister, and Masanao Ozawa Research Center for Information Security, National Institute of Advanced Industrial Science and Technology, Daibiru Building 1102, Sotokanda,â€¦ (More)

The objective of this paper is to explain and elucidate the formalism of PT quantum mechanics by applying it to a well-known problem in conventional Hermitian quantum mechanics, namely the problem ofâ€¦ (More)

In this paper, we study the Kelly criterion in the continuous time framework building on the work of E.O. Thorp and others. The existence of an optimal strategy is proven in a general setting and theâ€¦ (More)

Given an initial quantum state |ÏˆIã€‰ and a final quantum state |ÏˆF ã€‰ in a Hilbert space, there exist Hamiltonians H under which |ÏˆIã€‰ evolves into |ÏˆF ã€‰. Consider the following quantum brachistochroneâ€¦ (More)