We define quantum bi-Hamiltonian systems, by analogy with the classical case, as derivations in operator algebras which are inner derivations with respect to two compatible associative structures. We find such structures by means of the associative version of Nijenhuis tensors. Explicit examples, e....
Marmo, G., Simoni, A. and Ventriglia, F.: BiHamiltonian quantum systems and Weyl quantization, Rep. Math. Phys. 48 (2001), 149-157.A.Simoni and F.Ventriglia: BiHamiltonian Quantum Systems and Weyl Quantization - Marmo () Citation Context ...the form of the Hamiltonian as long as ...
Development of an efficient impurity solver in dynamical mean field theory for multiband systems: iterative perturbation theory combined with parquet equations. Phys. Rev. B 104, 035160 (2021). Article Google Scholar Kotliar, G., Savrasov, S. Y., Pálsson, G. & Biroli, G. Cellular ...
Rotter I., The brachistochrone problem in open quantum systems, J. Phys. A: Math. Theor. 40 (2007), 14515-14526, arXiv:0708.3891.E. Resconi for the IceCube Coll., arXiv:0708.3891.Assis P.E.G., Fring A., The quantum brachistochrone problem for non-Hermitian Hamiltonians, quant-ph/...
Pure states of general quantum-mechanical systems as Kähler bundles”, Nuovo Cim. B83 - Abbati, Cirelli, et al. - 1984 () Citation Context ...ve rise to a flow by integrating the Hamiltonian vector field 12 JESÚS CLEMENTE-GALLARDO AND GIUSEPPE MARMO associated with the expectation ...
In addition, this value might be further enhanced by a factor of 5–10 due to electric field tuning, depending on the different systems reported in the literature40,41, or even exploiting different mechanisms based, e.g., on coupling to the biexciton state61. In this section we provide ...
This operator is equivalent to the evolution operator of the quantum harmonic oscillator, which has the hamiltonian H=(x2+p2)/2. Application of the FRFT operator Fϕ to the x and p corresponds to rotation of angle ϕ in phase space [161,156]: (126)Fϕ†(xp)Fϕ=(cosϕsin...
The route has three stages: Stage 1: choice of the state variables x, Stage 2: specification of Hamiltonian and Thermodynamic Modeling of Quantum Turbulence 321 their Hamiltonian kinematics expressed in the Poisson bivector L and their dissipative kine- matics expressed in the dissipation potential ...
By using the Hamiltonian parameters generated on classical computers, a quantum computer could solve the exact energies of the chemical systems and help profile a quantitatively accurate landscape of reaction pathways. Catalyst structures could then be further refined or modified ...
The first term is a rigid energy offset, while the second is a bi-local term and cannot thus give rise to quantum entanglement. The third term, which is proportional to \({({x}_{A}-{x}_{B})}^{2}\), is the first that couples the masses. When written in second quantisation, it...