Adiabatic theorem for non-Hermitian time-dependent open systems
نویسندگان
چکیده
منابع مشابه
Adiabatic 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 کاملNon-hermitian Adiabatic Quantum Optimization
Many physical and combinatorial problems associated with complex networks of interacting degrees of freedom can be mapped to equivalent problems of finding the ground (or minimum cost) state of a corresponding quantum Hamiltonian H0 1,2,3,4,5,6,7,8,9. One of the approaches to finding the ground state of H0 is adiabatic quantum computation which can be formulated as follows. Consider the time de...
متن کاملNon-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 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 کاملDelay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems
In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...
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: 2005
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.72.032103