Variations on the adiabatic invariance: the Lorentz pendulum
... Rayleigh’s previous work, raised the question of the behavior of a “quantum pendulum” the length of which is gradually altered3 (by historical vicissitudes4 his name has become inextricably linked to that system). Einstein’s reply was that “if the length of the pendulum is changed infinitely slowly, ...
... Rayleigh’s previous work, raised the question of the behavior of a “quantum pendulum” the length of which is gradually altered3 (by historical vicissitudes4 his name has become inextricably linked to that system). Einstein’s reply was that “if the length of the pendulum is changed infinitely slowly, ...
Quantum theory of ion-atom interactions
... on the analytic solutions for the long-range, −1/R4 , polarization potential. Ion-atom interactions, especially at cold temperatures of a few kelvin or lower, are complicated by the rapid energy variations induced by the long-range polarization potential, by the generally large number of contributin ...
... on the analytic solutions for the long-range, −1/R4 , polarization potential. Ion-atom interactions, especially at cold temperatures of a few kelvin or lower, are complicated by the rapid energy variations induced by the long-range polarization potential, by the generally large number of contributin ...
Page MULTIPLE TIMESCALE PERTURBATION THEORY OF THE
... equation. According to Bender and Orszag (1991) a secular term always grows more faster than the corresponding solution of the homogeneous equation by at least a factor of t and the authors conclude: ‘that the appearance of secular terms demonstrates the non-uniform validity of perturbation expansio ...
... equation. According to Bender and Orszag (1991) a secular term always grows more faster than the corresponding solution of the homogeneous equation by at least a factor of t and the authors conclude: ‘that the appearance of secular terms demonstrates the non-uniform validity of perturbation expansio ...
Recent progress in symplectic algorithms for use in quantum systems
... The fundamental theorem of Hamiltonian mechanics says that the time-evolution of a Hamiltonian system is the evolution of symplectic transformation. In this sense, we say that the Hamiltonian system has a symplectic structure [1, 2]. Therefore, Ruth [3] and Feng [4] presented the symplectic algorith ...
... The fundamental theorem of Hamiltonian mechanics says that the time-evolution of a Hamiltonian system is the evolution of symplectic transformation. In this sense, we say that the Hamiltonian system has a symplectic structure [1, 2]. Therefore, Ruth [3] and Feng [4] presented the symplectic algorith ...
Amplitude spectroscopy of two coupled qubits
... 50). In these works the basic parameters of qubits and coupling constants have been measured, and also some relaxation characteristics of coupled qubits have been studied. Rabi spectroscopy of two coupled qubits both experimentally and theoretically have been investigated in publications.44,45,47,49 ...
... 50). In these works the basic parameters of qubits and coupling constants have been measured, and also some relaxation characteristics of coupled qubits have been studied. Rabi spectroscopy of two coupled qubits both experimentally and theoretically have been investigated in publications.44,45,47,49 ...
Linear and non-linear response phenomena of molecular systems
... might as well look at the magnetic field induced by an electric field or other kind of mixed responses. It is important to notice that, from the theoretical point of view we do not make a distinction between applied and observed fields1 . We can also describe the response when more than one perturba ...
... might as well look at the magnetic field induced by an electric field or other kind of mixed responses. It is important to notice that, from the theoretical point of view we do not make a distinction between applied and observed fields1 . We can also describe the response when more than one perturba ...
Tailoring Rydberg interactions via F\" orster resonances: state
... tailored by means of Förster resonances. These resonances occur whenever the energy of two coupled pair states is brought into degeneracy either by using electric [6–14] or microwave [15–17] fields. With state-of-the-art laser and RF systems, a wide range of Rydberg states can be addressed. Experim ...
... tailored by means of Förster resonances. These resonances occur whenever the energy of two coupled pair states is brought into degeneracy either by using electric [6–14] or microwave [15–17] fields. With state-of-the-art laser and RF systems, a wide range of Rydberg states can be addressed. Experim ...
Path Integrals — Elementary Properties and Simple Solutions
... not contribute in the limit N → ∞. The mathematical conditions ensuring this require functional analysis too technical to be presented here (for details, see the literature quoted at the end of the chapter). For us it is sufficient to know that the Trotter formula holds for operators which are bound ...
... not contribute in the limit N → ∞. The mathematical conditions ensuring this require functional analysis too technical to be presented here (for details, see the literature quoted at the end of the chapter). For us it is sufficient to know that the Trotter formula holds for operators which are bound ...
Improve The Convergence of Jarzynski Equality through Fast
... concentrated work distribution for adiabatic process [13], we hope that adiabatic process would produce a better result. As the conventional adiabatic process takes a long time to accomplish, based on recent work on transitionless quantum driving [14], we accelerate the adiabatic process by adding a ...
... concentrated work distribution for adiabatic process [13], we hope that adiabatic process would produce a better result. As the conventional adiabatic process takes a long time to accomplish, based on recent work on transitionless quantum driving [14], we accelerate the adiabatic process by adding a ...
