Quantum states of the kapitza pendulum
WebOscillatory states of quantum Kapitza pendulum Wei He, Chang-Yong Liu • The quantum mechanics with an asymmetric double-well potential on a circle is studied in the context of Floquet theorem, we obtain the eigenvalue and eigenfunction for both rotating and oscillatory states. For the oscillatory states, the piecewise wavefunctions in the barrier WebThe quantum states of the Kapitza pendulum are described within the effective potential obtained by the method of averaging over the fast oscillations. An analytical estimate of the energy spectrum of stabilized states is given using approximate model potential. For the lowest states of an inverted pendulum, the spectrum is repeduced by the energies of a …
Quantum states of the kapitza pendulum
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WebSep 1, 2015 · Review of a single Kapitza pendulum. Before entering the domain of many-body physics, we briefly review the (well understood) case of a single degree of freedom. Specifically, we consider the classical Hamiltonian of a periodically-driven simple pendulum, the Kapitza pendulum [23] H (t) = 1 2 p 2 − g (t) cos (ϕ), with g (t) = g 0 + g 1 cos ... WebMay 11, 2014 · This state develops a feature in the optical ... A classic example of such a parametric oscillator is Kapitza's pendulum 11, ... N. Peter Armitage is at the Institute for Quantum Matter, The ...
Web2 days ago · Time-periodic systems allow engineering new effective Hamiltonians from limited physical interactions. For example, the inverted position of the Kapitza pendulum emerges as a stable equilibrium with rapid drive of its pivot point. In this work, we propose the $\\textit{Kapitzonium}$: a Floquet qubit that is the superconducting circuit analog of a … WebFeb 25, 2024 · The quantum states of the Kapitza pendulum are described within the effective potential obtained by the method of averaging over the fast oscillations. An …
WebJun 11, 2010 · Quantum States of the Kapitza Pendulum. 01 May 2024. P. A. Golovinski & V. A. Dubinkin. On suppression of chaotic motion of a nonlinear MEMS ... The effect of Kapitza pendulum and price equilibrium. Phys. A 324, 388–395 (2003) Article MathSciNet Google Scholar Stephenson, A.: On a new type of dynamic stability. Mem. Proc ... WebAug 4, 2024 · Oscillatory states of quantum Kapitza pendulum. We study quantum mechanics problem described by the Schrödinger equation with Kapitza pendulum …
WebAbstract: In the Madelung-Bohm approach to quantum mechanics, we consider a ... Oscillatory states of quantum Kapitza pendulum [4.4884981459499524] 我々は、カピツァ振り子ポテンシャルを持つシュリンガー方程式によって記述される量子力学問題を研究す …
WebAug 4, 2024 · Abstract. We study quantum mechanics problem described by the Schr\" {o}dinger equation with Kapitza pendulum potential, that is the asymmetric double-well … clermont fortin wangWebAbstract: The quantum states of the Kapitza pendulum are described within the effective potential obtained by the method of averaging over the fast oscillations. An analytical estimate of the energy spectrum of stabilized states is … clermont foot match resultatWebDec 17, 2024 · I demonstrate the potential of reinforcement learning (RL) to prepare quantum states of strongly periodically driven nonlinear single-particle models. The ability of Q-learning to control systems far away from equilibrium is exhibited by steering the quantum Kapitza oscillator to the Floquet-engineered stable inverted position in the presence of a … blurams home proWebAug 4, 2024 · Oscillatory states of quantum Kapitza pendulum. We study quantum mechanics problem described by the Schrödinger equation with Kapitza pendulum potential, that is the asymmetric double-well potential on the circle. For the oscillatory states spatially localise around the two stable saddle positions of the potential, we obtain the perturbative … blurams phone numberWeb• Quantum science : Excellent knowledge about atomic physics and quantum mechanics, experienced in quantum logic gates with single and multi qubit operations, Bloch sphere and quantum entanglement, familiarity with Amazon Braket and Qiskit. • Mathematical and quantitative skills : Have a broad knowledge of both pure and applied mathematics ... clermont foot psg streamingWebKapitza pendulum is shown on Fig. 1(d). The figure clearly shows the oscillatory motion in the complex plane around one of the fixed stable points of V eff. Let us now consider the imaginary Kapitza pendulum problem in the quantum mechanical framework. We consider the motion of a quantum particle in a one-dimensional blurams monthly feeWebFeb 18, 2024 · An analogy of such dynamic stabilization is the periodically driven Kapitza pendulum, ... scientists have been able to design and study an unusual state of matter, the Quantum Spin Liquid. clermont harbor