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Related papers: Adiabatic response for Lindblad dynamics

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Shortcuts to adiabaticity (STA) are powerful quantum control methods, allowing quick evolution into target states of otherwise slow adiabatic dynamics. Such methods have widespread applications in quantum technologies, and various STA…

Quantum Physics · Physics 2022-02-02 Zelong Yin , Chunzhen Li , Jonathan Allcock , Yicong Zheng , Xiu Gu , Maochun Dai , Shengyu Zhang , Shuoming An

Adiabatic quantum control protocols have been of wide interest to quantum computation due to their robustness and insensitivity to their actual duration of execution. As an extension of previous quantum learning algorithms, this work…

Quantum Physics · Physics 2023-03-03 Nannan Ma , Wenhao Chu , Jiangbin Gong

Interacting systems with $K$ driven particle species on a open chain or chains which are coupled at the ends to boundary reservoirs with fixed particle densities are considered. We classify discontinuous and continuous phase transitions…

Statistical Mechanics · Physics 2015-05-20 Vladislav Popkov , Mario Salerno

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, e-print quant-ph/0404147). We also critically examine a recent argument claiming that…

Quantum Physics · Physics 2007-05-23 M. S. Sarandy , L. -A. Wu , D. A. Lidar

In adiabatic quantum computing the aim is to track an eigenstate as the Hamiltonian changes. In the usual setup this is achieved using the natural time-dependent Hamiltonian evolution of the system and the main technical tool is the…

Quantum Physics · Physics 2026-05-29 Joseph Cunningham , Jérémie Roland

We demonstrate the transport of interface states in the one-dimensional ferromagnetic Heisenberg model by a time dependent magnetic field. Our analysis is based on the standard Adiabatic Theorem. This is supplemented by a numerical analysis…

Statistical Mechanics · Physics 2008-10-30 Tom Michoel , Bruno Nachtergaele , Wolfgang Spitzer

The anomalous dynamical evolution and the crossing of nonadiabatic energy levels are investigated for exactly solvable time-dependent quantum systems through a reverse-engineering scheme. By exploiting a typical driven model, we elucidate…

Quantum Physics · Physics 2020-01-08 Hong Cao , Shao-Wu Yao , Li-Xiang Cen

According to the Green-Kubo theory of linear response, the conductivity of an electronically gapped liquid can be expressed in terms of the time correlations of the adiabatic charge flux, which is determined by the atomic velocities and…

Materials Science · Physics 2019-07-23 Federico Grasselli , Stefano Baroni

We formulate a geometric framework for quasistatic thermodynamics in open quantum systems by parameterizing the dynamics on a control manifold. In the quasistatic limit, the system follows a manifold of stationary states, and the work…

Quantum Physics · Physics 2026-05-01 Eric R. Bittner

We study stochastic evolution equations describing the dynamics of open quantum systems. First, using resolvent approximations, we obtain a sufficient condition for regularity of solutions to linear stochastic Schroedinger equations driven…

Quantum Physics · Physics 2014-05-27 Franco Fagnola , Carlos M. Mora

The adiabatic theorem is a fundamental result established in the early days of quantum mechanics, which states that a system can be kept arbitrarily close to the instantaneous ground state of its Hamiltonian if the latter varies in time…

Quantum Gases · Physics 2022-06-01 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov

We characterise the spontaneous emission time and direction from small numbers of dipole-coupled two-level atoms (2LAs) in the presence of incident fields. We show how to use adiabatic passage to admit population transfer between states in…

Quantum Physics · Physics 2008-09-19 Peter G. Brooke

We consider a time-dependent two-level quantum system interacting with a free Boson reservoir. The coupling is energy conserving and depends slowly on time, as does the system Hamiltonian, with a common adiabatic parameter $\varepsilon$.…

Mathematical Physics · Physics 2020-10-28 Alain Joye , Marco Merkli , Dominique Spehner

By developing the preceding work on the fast forward of transient phenomena of quantum tunneling by Khujakulov and Nakamura (Phys. Rev. {\bf A 93}, 022101 (2016) ), we propose a scheme of the exact fast forward of adiabatic control of…

Quantum Physics · Physics 2017-06-14 Katsuhiro Nakamura , Anvar Khujakulov , Sanat Avazbaev , Shumpei Masuda

We revisit the adiabatic criterion in stimulated Raman adiabatic passage for the three-level $\Lambda$-system, and compare the situation with and without nonlinearity. In linear systems, the adiabatic condition is derived with the help of…

Quantum Physics · Physics 2009-11-13 Han Pu , Peter Maenner , Weiping Zhang , Hong Y. Ling

The Lindblad approach to open quantum systems is introduced for studying the dynamics of a single trapped ion prepared in nonclassical motional states and subjected to continuous measurement of its internal population. This results in an…

Quantum Physics · Physics 2009-10-30 Roberto Onofrio , Lorenza Viola

In these lecture notes, we review the adiabatic theorem in quantum mechanics, focusing on a recent extension to many-body systems. The role of locality is emphasized and the relation to the quasi-adiabatic flow discussed. An important…

Mathematical Physics · Physics 2019-03-19 Sven Bachmann , Wojciech De Roeck , Martin Fraas

Periodic driving can create topological phases of matter absent in static systems. In terms of the displacement of the position expectation value of a time-evolving wavepacket in a closed system, a type of adiabatic dynamics in periodically…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Hailong Wang , Longwen Zhou , Jiangbin Gong

We study long-range interacting systems driven by external stochastic forces that act collectively on all the particles constituting the system. Such a scenario is frequently encountered in the context of plasmas, self-gravitating systems,…

Statistical Mechanics · Physics 2013-12-03 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet