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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

The combined quantum electron-nuclear dynamics is often associated with the Born-Huang expansion of the molecular wave function and the appearance of nonadiabatic effects as a perturbation. On the other hand, native multicomponent…

This study discusses the quantum behavior of a particle, which is controlled by fluctuations in the physical space-time (ST) variables, rather than provides a novel interpretation of quantum theory. The fluctuations, i.e., inhomogeneities…

General Physics · Physics 2012-06-15 Valery Egorushkin

We analyze the operation of a molecular machine driven by the non-adiabatic variation of external parameters. We derive a formula for the integrated flow from one configuration to another, obtain a "no-pumping theorem" for cyclic processes…

Statistical Mechanics · Physics 2008-10-08 Saar Rahav , Jordan Horowitz , Christopher Jarzynski

We provide a detailed theoretical analysis of the adiabatic evolution of degenerate open quantum systems, where the dynamics is induced by time-dependent fluctuating loop paths in control parameter space. For weak system-bath coupling, the…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Kyrylo Snizhko , Reinhold Egger , Yuval Gefen

The stochastic motion of a particle with long-range correlated increments (the moving phase) which is intermittently interrupted by immobilizations (the traping phase) in a disordered medium is considered in the presence of an external…

Statistical Mechanics · Physics 2023-08-31 Yingjie Liang , Wei Wang , Ralf Metzler

We introduce a perturbative approach to solving the time dependent Schroedinger equation, named adiabatic perturbation theory (APT), whose zeroth order term is the quantum adiabatic approximation. The small parameter in the power series…

Quantum Physics · Physics 2009-11-19 Gustavo Rigolin , Gerardo Ortiz , Victor Hugo Ponce

We investigate electron transport in one dimension from the quantum-acoustic perspective, where the coherent-state representation of lattice vibrations results in a time-dependent deformation potential whose rate is set by the sound speed,…

Quantum Physics · Physics 2025-12-23 Tiange Xiang , Yubo Zhang , Joonas Keski-Rahkonen , Anton M. Graf , Eric J. Heller

Quantum geometry characterizes the variation of wavefunctions in momentum space through their overlaps and relative phases, providing a general framework for understanding many transport and optical properties. It is generally formulated in…

Strongly Correlated Electrons · Physics 2026-05-20 Alejandro S. Miñarro , Gervasi Herranz

The noise properties of pump currents through an open double quantum dot setup with non-adiabatic ac driving are investigated. Driving frequencies close to the internal resonances of the double dot-system mark the optimal working points at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Strass , Peter Hänggi , Sigmund Kohler

We provide a general formula of quantum transfer that includes the non-adiabatic effect under periodic environmental modulation by using full counting statistics in Hilbert-Schmidt space. Applying the formula to an anharmonic junction model…

Quantum Physics · Physics 2014-05-09 Chikako Uchiyama

Adiabatic limit is the presumption of the adiabatic geometric quantum computation and of the adiabatic quantum algorithm. But in reality, the variation speed of the Hamiltonian is finite. Here we develop a general formulation of adiabatic…

Quantum Physics · Physics 2009-11-10 Yu Shi , Yong-Shi Wu

We propose an approach to process data from interferometric measurements on a closed quantum system at random times. For this purpose a time correlation matrix is introduced which enables us to extract dynamical properties of the quantum…

Quantum Physics · Physics 2021-04-28 K. Ziegler

We propose a method for the measurement of adiabatic phases of periodically driven quantum systems coupled to an open cavity that enables dispersive readout. It turns out that the cavity transmission exhibits peaks at frequencies determined…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Sigmund Kohler

A generalized formalism of the so-called non-adiabatic quantum molecular dynamics is presented, which applies for atomic many-body systems in external laser fields. The theory treats the nuclear dynamics and electronic transitions…

Atomic Physics · Physics 2007-05-23 Thomas Kunert , Ruediger Schmidt

In this work, we revisit the electron transfer rate theory, with particular interests in the distinct quantum solvation effect, and the characterizations of adiabatic/nonadiabatic and Markovian/non-Markovian rate processes. We first present…

Chemical Physics · Physics 2016-09-28 Rui-Xue Xu , Ying Chen , Ping Cui , Hong-Wei Ke , YiJing Yan

Using a minimum model consisting of a magnetic quantum dot and an electron lead, we investigate spin pumping by its precessing magnetization. Focusing on the "adiabaticity", which is quantified using a comparison between the frequency of…

Statistical Mechanics · Physics 2017-09-06 Kazunari Hashimoto , Gen Tatara , Chikako Uchiyama

We analytically investigate a non-equilibrium quantum pumping for a single quantum dot connected to external leads on the basis of the quantum master equation (QME). We show that the Coulomb interaction associated with the spin effect in…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 Ryosuke Yoshii , Hisao Hayakawa

Optimal performance of thermal machines is reached by suppressing friction. Friction in quantum thermodynamics results from fast driving schemes that generate nonadiabatic excitations. The far-from-equilibrium dynamics of quantum devices…

Quantum Gases · Physics 2018-05-01 Shujin Deng , Aurélia Chenu , Pengpeng Diao , Fang Li , Shi Yu , Ivan Coulamy , Adolfo del Campo , Haibin Wu

There is currently much interest in the development of improved trajectory-based methods for the simulation of nonadiabatic processes in complex systems. An important goal for such methods is the accurate calculation of the rate constant…

Chemical Physics · Physics 2014-09-04 Jeremy O. Richardson , Michael Thoss