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Dynamical phase transitions are defined through non-analyticities of the survival probability of an out-of-equilibrium time-evolving state at certain critical times. They ensue from zeros of the corresponding survival amplitude. By…

Statistical Mechanics · Physics 2023-03-17 Ángel L. Corps , Pavel Stránský , Pavel Cejnar

Coupled dynamical systems with one slow element and many fast elements are analyzed. By averaging over the dynamics of the fast variables, the adiabatic kinetic branch is introduced for the dynamics of the slow variable in the adiabatic…

Chaotic Dynamics · Physics 2015-06-15 Hidetoshi Aoki , Kunihiko Kaneko

The dynamic phase transition has been studied in the two dimensional kinetic Ising model in presence of a time varying (sinusoidal) magnetic field by Monte Carlo simulation. The nature (continuous or discontinuous) of the transition is…

Statistical Mechanics · Physics 2009-10-31 Muktish Acharyya

In adiabatic rapid passage, the Bloch vector of a qubit is inverted by slowly inverting an external field to which it is coupled, and along which it is initially aligned. In non-adiabatic twisted rapid passage, the external field is allowed…

Quantum Physics · Physics 2009-11-10 Frank Gaitan

Adiabatic transport of information is a widely invoked resource in connection with quantum information processing and distribution. The study of adiabatic transport via spin-half chains or clusters is standard in the literature, while in…

Quantum Physics · Physics 2014-07-23 Andrew D. Greentree , Belita Koiller

A time-dependent no-recrossing dividing surface is shown to lead to a new criterion for identifying reactive trajectories well before they are evolved to infinite time. Numerical dynamics simulations of a dissipative anharmonic…

Statistical Mechanics · Physics 2009-11-11 Thomas Bartsch , T. Uzer , Jeremy M. Moix , Rigoberto Hernandez

The possibility of non-adiabatic electron pumping in the system of three coupled quantum dots attached to the leads is discussed. We have found out that periodical changing of energy level position in the middle quantum dot results in non…

Mesoscale and Nanoscale Physics · Physics 2012-06-25 P. I. Arseyev , N. S. Maslova , V. N. Mantsevich

Two granular gases separated by an adiabatic piston and initially in the same macroscopic state are considered. It is found that a phase transition with an spontaneous symmetry breaking occurs. When the mass of the piston is increased…

Statistical Mechanics · Physics 2013-05-06 J. Javier Brey , Nagi Khalil

It is well known that the dynamics of a quantum system is always non-adiabatic in passage through a quantum critical point and the defect density in the final state following a quench shows a power-law scaling with the rate of quenching.…

Statistical Mechanics · Physics 2015-05-13 Debanjan Chowdhury , Uma Divakaran , Amit Dutta

We study the dynamics of the non-classical correlations for few atom systems in the presence of strong interactions for a number of recently developed adiabatic state preparation protocols. We show that entanglement can be created in a…

Quantum Physics · Physics 2018-07-27 Albert Benseny , Irina Reshodko , Thomas Busch

If the photon energy is much less than the electron binding energy, ionization of an atom by a strong optical field is often described in terms of electron tunneling through the potential barrier resulting from the superposition of the…

Atomic Physics · Physics 2013-04-23 Antonia Karamatskou , Stefan Pabst , Robin Santra

We investigate the evolution of an electron undergoing coherent tunneling via adiabatic passage (CTAP) using the solution of the one-dimensional Schroedinger equation in both space and time for a triple well potential. We find the…

Mesoscale and Nanoscale Physics · Physics 2008-06-18 Jared H. Cole , Andrew D. Greentree , L. C. L. Hollenberg , S. Das Sarma

We experimentally realize quasistatic adiabatic processes using a single optically-trapped micro- sphere immersed in water whose effective temperature is controlled by an external random electric field. A full energetic characterization of…

Statistical Mechanics · Physics 2015-06-03 Ignacio A. Martínez , Édgar Roldán , Luis Dinis , Dmitri Petrov , Raúl A. Rica

In a mesoscopic system, under zero bias voltage, a finite charge is transferred by quantum adiabatic pumping by adiabatically and periodically changing two or more control parameters. We obtained expressions for the pumped charge for a ring…

Mesoscale and Nanoscale Physics · Physics 2016-09-22 Masahiko Taguchi , Satoshi Nakajima , Toshihiro Kubo , Yasuhiro Tokura

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the…

Quantum Physics · Physics 2021-06-18 Albert Benseny , Klaus Mølmer

Surface hopping algorithms, as an important class of quantum dynamics simulation algorithms for non-adiabatic dynamics, are typically performed in the adiabatic representation, which can break down in the presence of ill-defined adiabatic…

Numerical Analysis · Mathematics 2022-05-06 Zhenning Cai , Di Fang , Jianfeng Lu

The universal analytical approach was developed to describe the process of particle slow extraction from a synchrotron using adiabatic crossing the betatron resonance of the third order. The obtained formulas make it possible to calculate…

Accelerator Physics · Physics 2024-02-05 Sergei Nikitin

We study adiabatic pumping through a two-level quantum dot with spin-orbit coupling. Using a diagrammatic real-time approach, we calculate both the pumped charge and spin for a periodic variation of the dot's energy levels in the limit of…

Mesoscale and Nanoscale Physics · Physics 2013-02-11 Stephan Rojek , Jürgen König , Alexander Shnirman

Electron transfer is an important and fundamental process in chemistry, biology and physics, and has received significant attention in recent years. Perhaps one of the most intriguing questions concerns with the realization of the…

Mesoscale and Nanoscale Physics · Physics 2023-05-30 Bokang Hou , Michael Thoss , Uri Banin , Eran Rabani

During the adiabatic time evolution levels crossing violates the adiabaticity and makes transitions between levels possible. Conventionally only two energy levels cross simultaneously. The transition probabilities for this case were found…

Strongly Correlated Electrons · Physics 2007-05-23 V. L. Pokrovsky , N. A. Sinitsyn