The authors propose an approximation to the quantum Rabi model, which improves upon widely used adiabatic approximation. This generalized approach predicts level crossings correctly and could potentially be applied other Rabi-type light-matter interaction models.

In this paper, the authors propose a novel static random access memory (SRAM) that employs the adiabatic logic principle. To reduce energy dissipation, the proposed adiabatic SRAM is driven by two trapezoidal-wave pulses. The cell structure of the proposed SRAM has two high-value resistors based on a p-type metal-oxide semiconductor transistor, a cross-coupled n-type metal-oxide semiconductor (...

The adiabatic theorem in quantum mechanics can be understood as an eeect of phase space tunneling 12]. This allows us to use micro-local methods from the theory of pseudo diierential operators to proof an adiabatic theorem where the Hamiltonian (as a function of time) belongs to some Gevrey class. These classes are of interest since they can be used to model a compactly supported and smooth swi...

We present an analysis of the quantum adiabatic algorithm for solving hard instances of 3-SAT san NPcomplete problemd in terms of random matrix theory sRMTd. We determine the global regularity of the spectral fluctuations of the instantaneous Hamiltonians encountered during the interpolation between the starting Hamiltonians and the ones whose ground states encode the solutions to the computati...

We investigate the influence of electron-phonon coupling on the superex-change interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer, Heeger model where the coupling arises from modulation of the overlap integral are studied using exact diagonalization and perturba-tive methods. In all cases fo...

Recently there have been some controversies about the criterion of the adiabatic approximation. It is shown that an approximate diagonalization of the effective Hamiltonian in the second quantized formulation gives rise to a reliable and unambiguous criterion of the adiabatic approximation. This is illustrated for the model of Marzlin and Sanders and a model related to the geometric phase which...

In this paper we study a Hamiltonian system with a spatially asymmetric potential. We are interested in the effects on the dynamics when the potential becomes symmetric slowly in time. We focus on a highly simplified non-trivial model problem (a metaphor) to be able to pursue explicit calculations as far as possible. Using the techniques of averaging and adiabatic invariants, we are able to stu...

We extend the notion of basic classes (for the Donaldson invariants) to 4-manifolds with b > 1 which are (potentially) not of simple type or satisfy b1 > 0. We also give a structure theorem for the Donaldson invariants of 4-manifolds with b > 1, b1 > 0 and of strong simple type.

We prove the equivalence between adiabatic quantum computation and quantum computation in the circuit model. An explicit adiabatic computation procedure is given that generates a ground state from which the answer can be extracted. The amount of time needed is evaluated by computing the gap. We show that the procedure is computationally efficient.