Quantum-Classical Transition in Generic Double-Well Systems

Eugene M. Chudnovsky

E MCHUDNOVSKY

Sung-Guk Han, Jaegon Um, Beom Jun Kim

We study quantum resonance behavior of the infinite-range kinetic Ising model at zero temperature. Numerical integration of the time-dependent Schrödinger equation in the presence of an external magnetic field in the z direction is performed at various transverse field strengths g. It is revealed that two resonance peaks occur when the energy gap matches the external driving frequency at two distinct values of g, one below and the other above the quantum phase transition. From the similar observations already made in classical systems with phase transitions, we propose that the double resonance peaks should be a generic feature of continuous transitions, for both quantum and classical many-body systems.

James E. Gubernatis, David K Campbell, Xidi Wang

Qi Li, Arie Kapulkin, Dustin Anderson +2 more

We demonstrate robust and reliable signatures for the transition from quantum to classical behavior in the position probability distribution of a damped double-well system using the Qunatum State Diffusion approach to open quantum systems. We argue that these signatures are within experimental reach, for example in a doubly-clamped nanomechanical beam.

David Farrelly, John A. Milligan