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Dynamical system analysis of quantum tunneling in an asymmetric double-well potential

Swetamber Das, Arghya Dutta

arXiv:2510.24100Physics Letters AMay 12, 20260 citations

Gaussian wavepacket dynamics and quantum tunneling in asymmetric double-well systems

Hideo Hasegawa

arXiv:1302.4110Physica A Statistical Mechanics and its ApplicationsAug 20, 201313 citations

Quantum coherence and tunnelling in a double-well potential in a thermal environment: Dynamics of the weakly coupled spin-boson system

H. Dekker

Physica A Statistical Mechanics and its ApplicationsAug 1, 198722 citations

Quantum coherence and tunnelling in a double-well potential in a thermal environment: dynamics of the weakly coupled spin-boson system

H. Dekker

Physica A Statistical Mechanics and its ApplicationsDec 1, 19870 citations

Description of Bound Reactive Dynamics within the Approximate Quantum Trajectory Framework

Sophya V. Garashchuk

The quantum trajectory framework incorporates quantum effects on dynamics through the quantum potential acting on a trajectory ensemble in addition to the classical potential. A global quadratic approximation to the quantum potential makes the method practical in many dimensions and captures dominant quantum effects in semiclassical systems. In this paper the approach is further developed to describe the "double well" dynamicsa prototype of the proton transfer reactionswhich exhibits the "hard" quantum effect of tunneling. Accurate description is achieved by combining the approximate quantum trajectory dynamics with the population amplitudes in the reactant and product wells. The quantum trajectory dynamics is defined by the asymptotic classical potentials. The population amplitudes represented in a small basis describe transfer between the wells. The method is exact if the reactant/product potentials are quadratic and the basis size is sufficiently large. In the semiclassical regime the trajectory dynamics is approximate and the basis size can be as small as two functions. The approach is fully compatible with the trajectory description of multidimensional systems capturing quantum tunneling along the reactive coordinate and zero-point energy flow among all degrees of freedom.The quantum trajectory framework incorporates quantum effects on dynamics through the quantum potential acting on a trajectory ensemble in addition to the classical potential. A global quadratic approximation to the quantum potential makes the method practical in many dimensions and captures dominant quantum effects in semiclassical systems. In this paper the approach is further developed to describe the "double well" dynamicsa prototype of the proton transfer reactionswhich exhibits the "hard" quantum effect of tunneling. Accurate description is achieved by combining the approximate quantum trajectory dynamics with the population amplitudes in the reactant and product wells. The quantum trajectory dynamics is defined by the asymptotic classical potentials. The population amplitudes represented in a small basis describe transfer between the wells. The method is exact if the reactant/product potentials are quadratic and the basis size is sufficiently large. In the semiclassical regime the trajectory dynamics is approximate and the basis size can be as small as two functions. The approach is fully compatible with the trajectory description of multidimensional systems capturing quantum tunneling along the reactive coordinate and zero-point energy flow among all degrees of freedom.

The Journal of Physical Chemistry AMar 16, 200910 citations

Quantum tunneling for the asymmetric double-well potential at finite energy

Bin Zhou, Liang Jiu-Qing, Fu‐Cho Pu

Physics Letters AMar 1, 20015 citations

Dynamical system description of quantum tunneling in a double well potential

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