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We study adiabatic pumping through a quantum dot tunnel-coupled to one normal and one superconducting lead. We generalize a formula which relates the pumped charge through a quantum dot with Coulomb interaction to the instantaneous local…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Janine Splettstoesser , Michele Governale , Jürgen König , Fabio Taddei , Rosario Fazio

We introduce an adiabatic quantum state transfer scheme in a non-uniform coupled triple-quantum-dot system. By adiabatically varying the external gate voltage applied on the sender and receiver, the electron can be transferred between them…

Quantum Physics · Physics 2011-01-27 Bing Chen , Wei Fan , Yan Xu

We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian describing the system, in the adiabatic limit, the current…

Mathematical Physics · Physics 2007-05-23 J. E. Avron , A. Elgart , G. M. Graf , L. Sadun , K. Schnee

The viability of adiabatic quantum computation depends on the slow evolution of the Hamiltonian. The adiabatic switching theorem provides an asymptotic series for error estimates in $1/T$, based on the lowest non-zero derivative of the…

Quantum Physics · Physics 2025-12-25 Thomas D. Cohen , Andrew Li , Hyunwoo Oh , Maneesha Sushama Pradeep

We give a systematic review of the adiabatic theorem and the leading non-adiabatic corrections in periodically-driven (Floquet) systems. These corrections have a two-fold origin: (i) conventional ones originating from the gradually changing…

With the advent of quantum technologies comes the requirement of building quantum components able to store energy to be used whenever necessary, i.e. quantum batteries. In this paper we exploit an adiabatic protocol to ensure a stable…

Quantum Physics · Physics 2019-09-06 Alan C. Santos , Barış Çakmak , Steve Campbell , Nikolaj T. Zinner

We consider a dynamical system subjected to weak but adiabatically slow fluctuations of external origin. Based on the ``adiabatic following'' approximation we carry out an expansion in \alpha/|\mu|, where \alpha is the strength of…

Statistical Mechanics · Physics 2009-10-31 S. K. Banik , D. S. Ray

We derive an accurate molecular orbital based expression for the coherent time evolution of a two-electron wave function in a quantum dot molecule where the electrons interact with each other, with external time dependent electromagnetic…

Other Condensed Matter · Physics 2009-11-13 R. Nepstad , L. Sælen , J. P. Hansen

Confirmation of the phononic origin of Cooper pair formation in superconductors came with the demonstration that the interaction was retarded and that the corresponding energy scales were associated with phonons. Using cellular dynamical…

Superconductivity · Physics 2010-02-15 B. Kyung , D. Sénéchal , A. -M. S. Tremblay

We discuss dynamics of periodically-driven open quantum systems. The time evolution of the quantum state is described by the quantum master equation and the form of the dissipator is chosen so that the instantaneous stationary state is…

Quantum Physics · Physics 2022-11-08 Kazutaka Takahashi

Adiabatic quantum optimization is a procedure to solve a vast class of optimization problems by slowly changing the Hamiltonian of a quantum system. The evolution time necessary for the algorithm to be successful scales inversely with the…

Quantum Physics · Physics 2015-12-16 Salvatore Mandrà , Gian Giacomo Guerreschi , Alán Aspuru-Guzik

We study spontaneous quantum coherence in an out of equilibrium system, coupled to multiple baths describing pumping and decay. For a range of parameters describing coupling to, and occupation of the baths, a stable steady-state condensed…

Superconductivity · Physics 2007-05-23 M. H. Szymanska , J. Keeling , P. B. Littlewood

We study a many-atom system exhibiting two competing collective processes: collective decay and collective pumping of excitations, relevant e.g. in cavity QED platforms. We find that the steady state exhibits a sharp transition as a…

Quantum Physics · Physics 2024-08-23 Yoav Shimshi , Ephraim Shahmoon

We study directed transport in periodically forced scattering systems in the regime of fast and strong driving where the dynamics is mixed to chaotic and adiabatic approximations do not apply. The model employed is a square potential well…

Mesoscale and Nanoscale Physics · Physics 2012-10-04 A. Castañeda , T. Dittrich , G. Sinuco

An elementary excitation in an aggregate of coupled particles generates a collective excited state. We show that the dynamics of these excitations can be controlled by applying a transient external potential which modifies the phase of the…

Quantum Physics · Physics 2013-06-14 Ping Xiang , Marina Litinskaya , Evgeny A. Shapiro , Roman V. Krems

We consider a classical overdamped Brownian particle moving in a symmetric periodic potential. We show that a net particle flow can be produced by adiabatically changing two external periodic potentials with a spatial and a temporal phase…

Statistical Mechanics · Physics 2009-11-07 O. Usmani , E. Lutz , M. Buttiker

Adiabatic processes are important for studying the dynamics of a time-dependent system. Conventionally, the adiabatic processes can only be achieved by varying the system slowly. We speed up both classical and quantum adiabatic processes by…

Quantum Physics · Physics 2013-05-21 Jia-wen Deng , Qing-hai Wang , Jiangbin Gong

Quantum adiabatic pumping of charge and spin between two reservoirs (leads) has recently been demonstrated in nanoscale electronic devices. Pumping occurs when two or more system parameters are varied in a cyclic manner and sufficiently…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Huan-Qiang Zhou , Sam Young Cho , Ross H. McKenzie

We show that the quasi-adiabatic evolution of a system governed by the Dicke Hamiltonian can be described in terms of a self-induced quantum many-body metrological protocol. This effect relies on the sensitivity of the ground state to a…

Quantum Physics · Physics 2015-06-16 P. A. Ivanov , D. Porras

A master equation approach to the study of environmental effects in the adiabatic population transfer in three-state systems is presented. A systematic comparison with the non-Hermitian Hamiltonian approach [N. V. Vitanov and S. Stenholm,…

Quantum Physics · Physics 2015-03-13 M. Scala , B. Militello , A. Messina , N. V. Vitanov