Stability of quantum dynamics under constant Hamiltonian perturbations
نویسندگان
چکیده
منابع مشابه
Stability of wave-packet dynamics under perturbations.
We introduce a method to investigate the stability of wave-packet dynamics under perturbations of the Hamiltonian. Our approach relies on semiclassical approximations, but is nonperturbative. Two separate contributions to the quantum fidelity are identified: one factor derives from the dispersion of the wave packets, whereas the other factor is determined by the separation of a trajectory of th...
متن کاملStability criteria for linear Hamiltonian systems under impulsive perturbations
where p(t) and q(t) are real-valued functions and p(t) 6= 0 for any t ∈ R. In what follows we assume that a(t), b(t), and c(t) satisfy the periodicity conditions a(t+ T ) = a(t), b(t+ T ) = b(t), c(t+ T ) = c(t), t ∈ R. The system (2) (or (3)) is said to be stable if all solutions are bounded on R, unstable if all nontrivial solutions are unbounded on R, and conditionally stable if there exits ...
متن کاملOn the Stability of the Mean-Field Spin Glass Broken Phase under Non-Hamiltonian Perturbations
Our numerical simulations surely show that the non hamiltonian systems we have studied have a very interesting, complex behavior, and show that the spherical spin model analogy is probably not all of the story. We have studied aging. We have found that on the time scales we could investigate (that are, one should not forget, of the order of the largest time scales that have been used to claim n...
متن کاملInvariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators
This paper is concerned with the sensitivity of invariant states in linear quantum stochastic systems with respect to nonlinear perturbations. The system variables are governed by a Markovian Hudson-Parthasarathy quantum stochastic differential equation (QSDE) driven by quantum Wiener processes of external bosonic fields in the vacuum state. The quadratic system Hamiltonian and the linear syste...
متن کاملStability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations
Dissipative Hamiltonian (DH) systems are an important concept in energy based modeling of dynamical systems. One of the major advantages of the DH formulation is that system properties are encoded in an algebraic way. For instance, the algebraic structure of DH systems guarantees that the system is automatically stable. In this paper the question is discussed when a linear constant coefficient ...
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 E
سال: 2018
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.98.062103