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Quantum state transformations that are robust to experimental imperfections are important for applications in quantum information science and quantum sensing. Counterdiabatic (CD) approaches, which use knowledge of the underlying system…

Quantum Gases · Physics 2020-11-10 Eric J. Meier , Kinfung Ngan , Dries Sels , Bryce Gadway

Adiabatic protocols are often employed in state preparation schemes but require the system to be driven by a slowly varying Hamiltonian so that transitions between instantaneous eigenstates are exponentially suppressed. Counterdiabatic…

Quantum Physics · Physics 2024-03-20 Callum W. Duncan

This paper aims to efficiently compute transport maps between probability distributions arising from particle representation of bio-physical problems. We develop a bidirectional DeepParticle (BDP) method to learn and generate solutions…

Computational Physics · Physics 2025-04-17 Tan Zhang , Zhongjian Wang , Jack Xin , Zhiwen Zhang

For classical many-body systems subject to Brownian dynamics we develop a superadiabatic dynamical density functional theory (DDFT) for the description of inhomogeneous fluids out-of-equilibrium. By explicitly incorporating the dynamics of…

Soft Condensed Matter · Physics 2022-12-20 S. M. Tschopp , J. M. Brader

The nonadiabatic transition probabilities in the two-level systems are calculated analytically by using the monodromy matrix determining the global feature of the underlying differential equation. We study the time-dependent 2x2 Hamiltonian…

Quantum Physics · Physics 2009-11-10 T. Kato , K. Nakamura , M. Lakshmanan

Surface hopping algorithms are popular tools to study dynamics of the quantum-classical mixed systems. In this paper, we propose a surface hopping algorithm in diabatic representations, based on time dependent perturbation theory and…

Numerical Analysis · Mathematics 2022-10-19 Di Fang , Jianfeng Lu

We investigate entropy production in finitely slow transitions between nonequilibrium steady states in Markov jump processes using the improved adiabatic approximation method proposed by Takahashi, Fujii, Hino and Hayakawa [1]. This method…

Statistical Mechanics · Physics 2022-12-28 Toshihiro Matsuo , Akihiko Sonoda

This paper provides the first ab-initio on-the-fly example of using the Quasi-Diabatic (QD) scheme for non-adiabatic simulations with diabatic dynamics approaches. The QD scheme provides a seamless interface between diabatic quantum…

Computational Physics · Physics 2019-08-15 Wanghuai Zhou , Arkajit Mandal , Pengfei Huo

This paper provides an overview, analysis, and comparison of second-order dynamic optimization algorithms, i.e., constrained Differential Dynamic Programming (DDP) and Sequential Quadratic Programming (SQP). Although a variety of these…

Optimization and Control · Mathematics 2026-01-05 Yuichiro Aoyama , Oswin So , Augustinos D. Saravanos , Evangelos A. Theodorou

This paper presents a novel approach using sensitivity analysis for generalizing Differential Dynamic Programming (DDP) to systems characterized by implicit dynamics, such as those modelled via inverse dynamics and variational or implicit…

Robotics · Computer Science 2024-08-29 Iordanis Chatzinikolaidis , Zhibin Li

This paper presents an algorithmic study and complexity analysis for solving distributionally robust multistage convex optimization (DR-MCO). We generalize the usual consecutive dual dynamic programming (DDP) algorithm to DR-MCO and propose…

Optimization and Control · Mathematics 2024-01-05 Shixuan Zhang , Xu Andy Sun

Counter-diabatic driving protocols were proposed as a means to do fast changes in the Hamiltonian without exciting transitions. Such driving in principle allows one to realize arbitrarily fast annealing protocols or implement fast…

Quantum Physics · Physics 2017-05-11 Dries Sels , Anatoli Polkovnikov

We propose a method to improve the stimulated Raman adiabatic passage (STIRAP) via dissipative quantum dynamics, taking into account the dephasing effects. Fast and robust population transfer can be obtained with the scheme by the designed…

Quantum Physics · Physics 2016-09-29 Qi-Cheng Wu , Ye-Hong Chen , Bi-Hua Huang , Yan Xia , Jie Song , Shi-Biao Zheng

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

We explore protocols for three-state adiabatic passage where the tunnel matrix elements are varied digitally, rather than smoothly as is the case with conventional adiabatic passage. In particular, we focus on the STIRAP and related…

Quantum Physics · Physics 2013-07-09 Jesse A. Vaitkus , Andrew D. Greentree

We present an analysis of the stimulated Raman adiabatic passage processes based on the methods of differential geometry. The present work was inspired by an excellent article by Bruce W. Shore et al. (R. G. Unanyan, B. W. Shore, and K.…

Atomic Physics · Physics 2022-11-23 Arturs Cinins , Martins Bruvelis , Nikolai N. Bezuglov

We consider a classical and superadiabatic version of an iterative quantum adiabatic algorithm to solve combinatorial optimization problems. This algorithm is deterministic because it is based on purely classical dynamics, that is, it does…

Statistical Mechanics · Physics 2020-05-08 Takuya Hatomura

Augmented accuracy in prediction of diabetes will open up new frontiers in health prognostics. Data overfitting is a performance-degrading issue in diabetes prognosis. In this study, a prediction system for the disease of diabetes is…

Computer Vision and Pattern Recognition · Computer Science 2017-07-27 Akm Ashiquzzaman , Abdul Kawsar Tushar , Md. Rashedul Islam , Jong-Myon Kim

We are interested in high-order linear multistep schemes for time discretization of adjoint equations arising within optimal control problems. First we consider optimal control problems for ordinary differential equations and show loss of…

Numerical Analysis · Mathematics 2018-07-24 Giacomo Albi , Michael Herty , Lorenzo Pareschi

Stimulated Raman Adiabatic Passage, a very efficient technique for manipulating a quantum system based on the adiabatic theorem, is analyzed in the case where the manipulated physical system is interacting with a spin bath. Exploitation of…

Quantum Physics · Physics 2023-11-21 Benedetto Militello , Anna Napoli