Buscar
Mostrando ítems 1-10 de 138
Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation
(Academic Press Inc Elsevier Science, 2016-06)
We prove that any symmetric Hamiltonian that is a quadratic function of the coordinates and momenta has a pseudo-Hermitian adjoint or regular matrix representation. The eigenvalues of the latter matrix are the natural ...
Quadratic Hamiltonians in phase-space quantum mechanics
(1989-07)
The dynamical evolution is described within the phase-space
formalism by means of the Moyal propagator, which is the symbol of the
evolution operator. Quadratic Hamiltonians on the phase space are
distinguished in that ...
Amplification of quadratic Hamiltonians
(Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, 2020-05-25)
Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. ...
Algebraic treatment of non-Hermitian quadratic Hamiltonians
(Springer, 2020-09-04)
We generalize a recently proposed algebraic method in order to treat non-Hermitian Hamiltonians. The approach is applied to several quadratic Hamiltonians studied earlier by other authors. Instead of solving the Schrödinger ...
A time-dependent pseudo-Hermitian Hamiltonian for a cavity mode with pure imaginary frequency
(2021-11-01)
In this work we first present a general treatment for a time-dependent (TD) pseudo-Hermitian quadratic Hamiltonian, considering an equally TD and non-Hermitian Dyson map. Then we particularize our study to a TD pseudo-Hermitian ...
Comparison of quadratization methods for integer factorization via adiabatic quantum computing
(Florianópolis, SC., 2022)
Distinguished Hamiltonian theorem for homogeneous symplectic manifolds
(1991-09)
A diffeomorphism of a finite-dimensional flat symplectic manifold which is canonoid with respect to all linear and quadratic Hamiltonians preserves the symplectic structure up to a factor: so runs the "quadratic Hamiltonian ...
Lagrangian-Hamiltonian formalism for cocontact systems
In this paper we present a unified Lagrangian–Hamiltonian geometric formalism to describe
time-dependent contact mechanical systems, based on the one first introduced by K. Kamimura and
later formalized by R. Skinner and ...
All-creation and all-annihilation time-dependent PT -symmetric bosonic Hamiltonians: An infinite squeezing degree at a finite time
(2019-07-24)
Here we introduce the all-creation and all-annihilation time-dependent (TD) PT-symmetric bosonic Hamiltonians, which in the interaction picture are described only by creation or annihilation operators. These Hamiltonians ...