propagation methods for quantum molecular dynamics
... approach, the action of the operator 6 (i.e. the mappinggenerated by the operator, ~b = 6~) is handled effectively. Local operators in coordinate space, such as the potential, are calculated on the grid points while nonlocal operators, such as the kinetic energy operator, are calculated in the funct ...
... approach, the action of the operator 6 (i.e. the mappinggenerated by the operator, ~b = 6~) is handled effectively. Local operators in coordinate space, such as the potential, are calculated on the grid points while nonlocal operators, such as the kinetic energy operator, are calculated in the funct ...
COHERENT STATES FOR CONTINUOUS SPECTRUM AS
... mathematical physics, signal theory and quantum information [1 - 4]. Among the various kind of CSs, a privileged place is occupied by the generalized hypergeometric coherent states (GH-CSs), introduced in [5] and applied to the mixed (thermal) states in [6]. Moreover, the calculations involving CSs ...
... mathematical physics, signal theory and quantum information [1 - 4]. Among the various kind of CSs, a privileged place is occupied by the generalized hypergeometric coherent states (GH-CSs), introduced in [5] and applied to the mixed (thermal) states in [6]. Moreover, the calculations involving CSs ...
THE TRIANGLE INEQUALITY AND THE DUAL GROMOV
... construction in [12], and thus provides a satisfactory answer to a long standing challenge. The proof of the triangle inequality which we present strengthen our understanding of our dual propinquity, provides a much more effective tool for both the theoretical study of our metric and for its applica ...
... construction in [12], and thus provides a satisfactory answer to a long standing challenge. The proof of the triangle inequality which we present strengthen our understanding of our dual propinquity, provides a much more effective tool for both the theoretical study of our metric and for its applica ...
Parametrized discrete phase-space functions
... Using discrete displacement-operator expansion, s-parametrized phase-space functions associated with the operators in a finite-dimensional Hilbert space are introduced and their properties are studied. In particular, the phase-space functions associated with the density operator can be regarded as q ...
... Using discrete displacement-operator expansion, s-parametrized phase-space functions associated with the operators in a finite-dimensional Hilbert space are introduced and their properties are studied. In particular, the phase-space functions associated with the density operator can be regarded as q ...
A note on the realignment criterion
... but f` (s1 , . . . , sm2 ) > B` (m, n). Therefore, the bound B` (m, n) can be used to detect entanglement for which the realignment criterion fails. Numerical estimations for these bounds were given for (m, n) = (2, 2) and (2, 3) in [10]. The numerical results also suggest that B̃` (2, 2) = B` (2, 2 ...
... but f` (s1 , . . . , sm2 ) > B` (m, n). Therefore, the bound B` (m, n) can be used to detect entanglement for which the realignment criterion fails. Numerical estimations for these bounds were given for (m, n) = (2, 2) and (2, 3) in [10]. The numerical results also suggest that B̃` (2, 2) = B` (2, 2 ...
Giovannini, D., Romero, J., Leach, J., Dudley, A, Forbes, A, and
... method is that MUBs need to be defined for the small Hilbert spaces of the subsystems rather than for the large space of the overall system. This becomes especially relevant where the definition or measurement of MUBs for the overall system is challenging. We illustrate this approach by implementing ...
... method is that MUBs need to be defined for the small Hilbert spaces of the subsystems rather than for the large space of the overall system. This becomes especially relevant where the definition or measurement of MUBs for the overall system is challenging. We illustrate this approach by implementing ...
Monte Carlo Simulations of Quantum Spin Models - cond
... which has an unconstrained configuration space. Only a subset of configurations of the twodimensional Ising model are allowed to occur also in the effective classical model for Z. These configurations are those that correspond to continuous, unbroken world lines. In higher spatial dimensions, one ca ...
... which has an unconstrained configuration space. Only a subset of configurations of the twodimensional Ising model are allowed to occur also in the effective classical model for Z. These configurations are those that correspond to continuous, unbroken world lines. In higher spatial dimensions, one ca ...
An edge index for the Quantum Spin-Hall effect
... write the edge Hamiltonian as a continuous direct sum of Bloch Hamiltonians Hk . As illustrated in Fig. 2, the spectrum of each Hk consists of upper and lower continuum parts plus two nondegenerate (excepting k=0), discrete eigenvalues. These discrete eigenvalues for different k’s assemble themselve ...
... write the edge Hamiltonian as a continuous direct sum of Bloch Hamiltonians Hk . As illustrated in Fig. 2, the spectrum of each Hk consists of upper and lower continuum parts plus two nondegenerate (excepting k=0), discrete eigenvalues. These discrete eigenvalues for different k’s assemble themselve ...
