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....
Ventriglia, Bi-Hamiltonian quantum system and Weyl quantization, Rep. Math. Phys. 48 (2001) 149-157.G.Marmo, A.Simoni and F.Ventriglia: BiHamiltonian Quantum Systems and Weyl Quantization. Reports on Math. Phys., 2001, to appear.
Quantum computers hold promise to improve the efficiency of quantum simulations of materials and to enable the investigation of systems and properties that are more complex than tractable at present on classical architectures. Here, we discuss computational frameworks to carry out electronic structure calc...
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/...
Through use of a cascading on-chip Mach-Zehnder interferometer with thermal tuning to regulate the energy distribution and phase of different transverse-modes, any level of biphoton entanglement can be achieved. Discussion We have shown the photon pair and entangled Bell state generation based on ...
(1935). Quantum theory predicts correlations between two or more quantum systems once an entangled state of these systems has been generated. These correlations persist even after the quantum systems have been brought to spacelike separated points. The statistical nature of quantum mechanical predictio...
Kaufman, A.N.: Dissipative Hamiltonian systems: a unifying principle. Phys. Lett. A 100, 419 (1984) 8. Morrison, P.J.: Bracket formulation for irreversible classical fields. Phys. Lett. A 100, 423 (1984) 9. Beris, A.N., Edwards, B.J.: Thermodynamics of Flowing Systems. Oxford ...
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 ...
Directional transport and propagation of quantum particle and current, such as electron, photon, spin, and phonon, are known to occur in the materials system with broken inversion symmetry, as exemplified by the diode in semiconductor p–n junction and t
Biphonons in the -Fermi–Pasta–Ulam model Discrete breathers or intrinsic localized modes are nonlinear localized states that appear in several classical extended systems, such as for instance the ... Z Ivi,GP Tsironis - 《Physica D Nonlinear Phenomena》 被引量: 11发表: 2006年 Two-vibron boun...