Wave-packet evolution in non-Hermitian quantum systems
نویسندگان
چکیده
منابع مشابه
Non-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 evolution of non-Hermitian Hamiltonian systems
We provide time-evolution operators, gauge transformations and a perturbative treatment for non-Hermitian Hamiltonian systems, which are explicitly timedependent. We determine various new equivalence pairs for Hermitian and non-Hermitian Hamiltonians, which are therefore pseudo-Hermitian and in addition in some cases also invariant under PT-symmetry. In particular, for the harmonic oscillator p...
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 کاملShortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation.
The technique of shortcuts to adiabaticity (STA) has attracted broad attention due to their possible applications in quantum information processing and quantum control. However, most studies published so far have been only focused on Hermitian systems under the rotating-wave approximation (RWA). In this paper, we propose a modified shortcuts to adiabaticity technique to realize population trans...
متن کاملQuantum wave packet revivals
The numerical prediction, theoretical analysis, and experimental verification of the phenomenon of wave packet revivals in quantum systems has flourished over the last decade and a half. Quantum revivals are characterized by initially localized quantum states which have a short-term, quasi-classical time evolution, which then can spread significantly over several orbits, only to reform later in...
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: Physical Review A
سال: 2011
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.83.060101