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Nonadiabatic corrections in molecules composed of a few atoms are considered. It is demonstrated that a systematic perturbative expansion around the adiabatic solution is possible, with the expansion parameter being the electron-nucleus…

Chemical Physics · Physics 2009-11-13 Krzysztof Pachucki , Jacek Komasa

We study nonadiabatic electron transfer within the biased spin-boson model. We calculate the incoherent transfer rate in analytic form at all temperatures for a power law form of the spectral density of the solvent coupling. In the Ohmic…

Statistical Mechanics · Physics 2009-10-31 G. Lang , E. Paladino , U. Weiss

Geometric phases of scattering states in a ring geometry are studied based on a variant of the adiabatic theorem. Three time scales, i.e., the adiabatic period, the system time and the dwell time, associated with adiabatic scattering in a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Huan-Qiang Zhou , Urban Lundin , Sam Young Cho

Recent experiments measuring the emission of exciton recombination in a self-organized single quantum dot (QD) have revealed that novel effects occur when the wetting layer surrounding the QD becomes filled with electrons, because the…

Strongly Correlated Electrons · Physics 2007-05-23 R. W. Helmes , M. Sindel , L. Borda , J. von Delft

The ability to pump quantised amounts of charge is one of the hallmarks of topological materials. An archetypical example is Laughlin's gauge argument for transporting an integer number of electrons between the edges of a quantum Hall…

Strongly Correlated Electrons · Physics 2020-05-13 Mariya A. Lizunova , Florian Schreck , Cristiane Morais Smith , Jasper van Wezel

The geometrical Berry phase is key to understanding the behaviour of quantum states under cyclic adiabatic evolution. When generalised to non-Hermitian systems with gain and loss, the Berry phase can become complex, and should modify not…

Mesoscale and Nanoscale Physics · Physics 2022-05-06 Yaashnaa Singhal , Enrico Martello , Shraddha Agrawal , Tomoki Ozawa , Hannah Price , Bryce Gadway

A new model of nonlinear electrodynamics with two parameters is investigated. We also consider a model with one dimensional parameter. It was shown that the electric field of a point-like charge is not singular at the origin and there is…

General Physics · Physics 2015-04-06 S. I. Kruglov

By analyzing an exactly solvable model in the second quantized formulation which allows a unified treatment of adiabatic and non-adiabatic geometric phases, it is shown that the topology of the adiabatic Berry's phase, which is…

Quantum Physics · Physics 2017-08-23 Kazuo Fujikawa

Crossing a quantum critical point in finite time challenges the adiabatic condition due to the closing of the energy gap, which ultimately results in the formation of excitations. Such non-adiabatic excitations are typically deemed…

Quantum Physics · Physics 2022-04-27 Obinna Abah , Gabriele De Chiara , Mauro Paternostro , Ricardo Puebla

We clarify the role of non-adiabatic effects in a quantum pumping for a spin-boson system. When we sinusoidally control the temperatures of two reservoirs with \pi/2 phase difference, we find that the pumping current strongly depends on the…

Statistical Mechanics · Physics 2014-11-24 Kota L. Watanabe , Hisao Hayakawa

We study a system of two distant quantum emitters coupled via a one-dimensional waveguide where the electromagnetic field has a direction-dependent velocity. As a consequence, the onset of collective emission is non-simultaneous and, for…

Quantum Physics · Physics 2022-05-04 P. Solano , P. Barberis-Blostein , K. Sinha

In a nonlinear three-wave mixing process, the interacting waves can accumulate an adiabatic geometric phase (AGP) if the nonlinear coefficient of the crystal is modulated in a proper manner along the nonlinear crystal. This concept was…

We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov-Bohm…

Quantum Physics · Physics 2009-10-31 Gonzalo Garcia de Polavieja , Erik Sjoeqvist

In this work we study the effects of nonadiabatic external driving on the thermodynamics of an electronic system coupled to two electronic leads and to a phonon mode, with and without damping. In the limit of slow driving, we establish…

Statistical Mechanics · Physics 2022-06-03 Jakob Bätge , Amikam Levy , Wenjie Dou , Michael Thoss

An accurate theory describing adiabatic following of the dark, nonabsorbing state in the three-level system is developed. An analytical solution for the wave function of the particle experiencing Raman excitation is found as an expansion in…

Optics · Physics 2009-11-10 R. N. Shakhmuratov , J. Odeurs

We compare nonlinear stresses and temperatures for adiabatic shear flows, using up to 262,144 particles, with those from corresponding homogeneous and inhomogeneous flows. Two varieties of kinetic temperature tensors are compared to the…

Chaotic Dynamics · Physics 2015-05-13 Wm. G. Hoover , C. G. Hoover

We generalise the celebrated semiclassical wavepacket approach from the adiabatic to the non-adiabatic regime. A unified description covering both of these regimes is particularly desired for systems with spatially varying band structures…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Matisse Wei-Yuan Tu , Ci Li , Wang Yao

Motivated by the $\Omega$-spectrum proposal of unique gapped ground states by Kitaev, we study adiabatic cycles in gapped quantum spin systems from various perspectives. We give a few exactly solvable models in one and two spatial…

Strongly Correlated Electrons · Physics 2022-09-08 Ken Shiozaki

We investigate the temperature-driven quantum-to-classical crossover in a single-electron emitter. The emitter is composed of a quantum conductor and an electrode, which is coupled via an Ohmic contact. At zero temperature, it has been…

Mesoscale and Nanoscale Physics · Physics 2022-11-17 Y. Yin

We present a theoretical study of the rotational dynamics of asymmetry top molecules in an electric field and a parallel non-resonant linearly polarized laser pulse. The time-dependent Schr\"odinger equation is solved within the rigid rotor…

Quantum Physics · Physics 2015-06-16 Juan J. Omiste , Rosario González-Férez
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