We investigate adiabatic evolution of quantum states as governed by the nonlinear Schrödinger equation and provide examples of applications with a nonlinear tunneling model for Bose-Einstein condensates. Our analysis not only spells out conditions for adiabatic evolution of eigenstates but also characterizes the motion of noneigenstates which cannot be obtained from the former in the absence of...

We investigate one-loop quantum corrections to the power spectrum of adiabatic perturbation from entropy modes/adiabatic mode cross-interactions in multiple DBI inflationary models. We find that due to the non-canonical kinetic term in DBI models, the loop corrections are enhanced by slow-varying parameter ǫ and small sound speed cs. Thus, in general the loop-corrections in multi-DBI models can...

Several adiabatic extensions to the diffusion Monte Carlo approach are presented. In the first, an adiabatic form of the finite field method is developed for the systematic evaluation of expectation values. In addition, an adiabatic flexible node method for calculating excited states is described. The above methods are applied to NeSH and Ar2HCl where comparisons to results of variational calcu...

We analyze the performance of adiabatic quantum computation (AQC) subject to decoherence. To this end, we introduce an inherently open-systems approach, based on a recent generalization of the adiabatic approximation. In contrast to closed systems, we show that a system may initially be in an adiabatic regime, but then undergo a transition to a regime where adiabaticity breaks down. As a conseq...

Adiabatic logic can offer significant power reductions in comparison to conventional CMOS circuits ([1], [2]). Although numerous architectures have been proposed in the literature for synchronous circuit implementations, not much work has been done on asynchronous logic due to the difficulties of such implementations. This paper presents a new adiabatic power supply controller for asynchronous ...

Quantum adiabatic computation has attracted a lot of attention in the past decades, such as [1, 3–10], since it was proposed by Farhi et al.[11]. In [5], an adiabatic algorithm was proposed to solve the Deutsch-Jozsa problem. The algorithm took an exponential time which provided only a quadratic speed up over the best classical algorithm for the problem. A modified algorithm proposed by Wei and...

We analyze two approaches to the quantum-classical Liouville (QCL) formalism that differ in the order of two operations: Wigner transformation and projection onto adiabatic electronic states. The analysis is carried out on a two-dimensional linear vibronic model where geometric phase (GP) effects arising from a conical intersection profoundly affect nuclear dynamics. We find that the Wigner-the...

We have numerically studied a non-adiabatic charge transport in the quantum Hall system pumped by a magnetic flux, as one of the simplest theoretical realizations of nonadiabatic Thouless pumping. In the adiabatic limit, a pumped charge is quantized, known as Laughlin’s argument in a cylindrical lattice. In a uniform electric field, we obtained a formula connecting quantized pumping in the adia...

We present the non-adiabatic Matsubara dynamics, a general framework for computing time-correlation function (TCF) of electronically systems. This new formalism is derived based on generalized Kubo-transformed TCF using Wigner representation both nuclear degrees freedom and electronic mapping variables. By dropping non-Matsubara normal modes in quantum Liouvillian explicitly integrating these o...