NON-UNITARY TRANSFORMATION OF QUANTUM TIME-DEPENDENT NON-HERMITIAN SYSTEMS
نویسندگان
چکیده
منابع مشابه
Non-Hermitian time-dependent quantum systems with real energies
In this work we intend to study a class of time-dependent quantum systems with nonHermitian Hamiltonians, particularly those whose Hermitian counterpart are important for the comprehension of posed problems in quantum optics and quantum chemistry, which consists of an oscillator with time-dependent mass and frequency under the action of a time-dependent imaginary potential. The propagator for a...
متن کاملNon-Hermitian Quantum Systems and Time-Optimal Quantum Evolution
Recently, Bender et al. have considered the quantum brachistochrone problem for the non-Hermitian PT -symmetric quantum system and have shown that the optimal time evolution required to transform a given initial state |ψi〉 into a specific final state |ψf 〉 can be made arbitrarily small. Additionally, it has been shown that finding the shortest possible time requires only the solution of the two...
متن کاملTime-dependent quasi-Hermitian Hamiltonians and the unitary quantum evolution
We show that the consequences of an introduction of a manifest time-dependence in a pseudo-Hermitian Hamiltonian H = H(t) are by far less drastic than suggested by A. Mostafazadeh in Phys. Lett. B 650 (2007) 208 (arXiv:0706.1872v2 [quant-ph]). In particular, the unitarity of the evolution does not necessitate the time-independence of the metric η+ = η+(t). PACS number: 03.65.-w
متن کاملCoherent states of non-Hermitian quantum systems
We use the Gazeau-Klauder formalsim to construct coherent states of non-Hermitian quantum systems. In particular we use this formalism to construct coherent state of a PT symmetric system. We also describe the construction of coherent states following Klauder’s minimal prescription. e-mail : [email protected] e-mail : [email protected]
متن کاملAdiabatic theorem for non-hermitian time-dependent open systems
In the conventional quantum mechanics (i.e., hermitian QM) the adiabatic theorem for systems subjected to time periodic fields holds only for bound systems and not for open ones (where ionization and dissociation take place) [D. W. Hone, R. Ketzmerik, and W. Kohn, Phys. Rev. A 56, 4045 (1997)]. Here with the help of the (t,t’) formalism combined with the complex scaling method we derive an adia...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Polytechnica
سال: 2017
ISSN: 1805-2363,1210-2709
DOI: 10.14311/ap.2017.57.0424