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Simulating the molecular dynamics (MD) using classical or semi-classical trajectories provides important details for the understanding of many chemical reactions, protein folding, drug design, and solvation effects. MD simulations using…

Mathematical Physics · Physics 2011-11-16 Siyang Yang

Recent progress in the study of dynamical phase transitions has been made with a large-deviation approach to study trajectories of stochastic jumps using a thermodynamic formalism. We study this method applied to an open quantum system…

Quantum Physics · Physics 2012-05-31 Sam Genway , Juan P. Garrahan , Igor Lesanovsky , Andrew D. Armour

We study the dynamics of a driven non-Hermitian superconducting qubit which is perturbed by quantum jumps between energy levels, a purely quantum effect with no classical correspondence. The quantum jumps mix the qubit states leading to…

Quantum Physics · Physics 2021-10-05 Weijian Chen , Maryam Abbasi , Yogesh N. Joglekar , Kater W. Murch

We derive a novel efficient scheme to measure the rate constant of transitions between stable states separated by high free energy barriers in a complex environment within the framework of transition path sampling. The method is based on…

Statistical Mechanics · Physics 2009-11-07 Titus S. van Erp , Daniele Moroni , Peter G. Bolhuis

The dynamics of open quantum systems is often modelled using master equations, which describe the expected outcome of an experiment (i.e., the average over many realizations of the same dynamics). Quantum trajectories, instead, model the…

Quantum Physics · Physics 2022-04-11 V. Macrì , F. Minganti , A. F. Kockum , A. Ridolfo , S. Savasta , F. Nori

An ab initio quantum-classical mixed scheme for the time evolution of electrode-device-electrode systems is introduced to study nuclear dynamics in quantum transport. Two model systems are discussed to illustrate the method. Our results…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Claudio Verdozzi , Gianluca Stefanucci , Carl-Olof Almbladh

Fine control of the dynamics of a quantum system is the key element to perform quantum information processing and coherent manipulations for atomic and molecular systems. In this paper we propose a control protocol using a tangent-pulse…

Quantum Physics · Physics 2018-06-27 Guang Yang , Wei Li , Li-Xiang Cen

The quantum jump approach, where pairs of state vectors follow Stochastic Schroedinger Equation (SSE) in order to treat the exact quantum dynamics of two interacting systems, is first described. In this work the non-uniqueness of such…

Quantum Physics · Physics 2009-02-05 Denis Lacroix

We introduce a novel computational framework for excited-states molecular quantum dynamics simulations driven by quantum computing-based electronic-structure calculations. This framework leverages the fewest-switches surface-hopping method…

Quantum Physics · Physics 2024-02-26 Anthony Gandon , Alberto Baiardi , Pauline Ollitrault , Ivano Tavernelli

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

We use the effective Hamiltonian that we recently fitted against the first 306 experimentally observed vibronic transitions of NO2 [J. Chem. Phys. 119, 5923 (2003)] to investigate the time domain nonadiabatic dynamics of this molecule on…

Chemical Physics · Physics 2011-11-09 Michaël Sanrey , Marc Joyeux

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times to the initial state. We show that the ensuing dynamics is non-Markovian and…

Statistical Mechanics · Physics 2022-10-05 Gabriele Perfetto , Federico Carollo , Igor Lesanovsky

We perform on-the-fly non-adiabatic molecular dynamics simulations using the symmetrical quasi-classical (SQC) approach with the recently suggested molecular Tully models: ethylene and fulvene. We attempt to provide benchmarks of the SQC…

Chemical Physics · Physics 2021-09-15 Braden M. Weight , Arkajit Mandal , Pengfei Huo

We present a new approach to calculate real-time quantum dynamics in complex systems. The formalism is based on the partitioning of a system's environment into "core" and "reservoir" modes, with the former to be treated quantum mechanically…

Statistical Mechanics · Physics 2015-05-30 Timothy C. Berkelbach , David R. Reichman , Thomas E. Markland

Trapped ion systems present non-classical characteristics such as squeezed states that show a quantum advantage in quantum sensing, quantum information processing and quantum thermodynamics. We analyze the non-classical characteristics of a…

Quantum Physics · Physics 2025-04-30 C. F. P. Avalos , M. C. de Oliveira

Rare events in molecular dynamics are often related to noise-induced transitions between different macroscopic states (e.g., in protein folding). A common feature of these rare transitions is that they happen on timescales that are on…

Probability · Mathematics 2026-01-06 Carsten Hartmann , Annika Jöster , Christof Schütte , Alexander Sikorski , Marcus Weber

We construct a measure for the adiabatic contribution to quantum transitions in an arbitrary basis, tackling the generic complex case where dynamics is only partially adiabatic, simultaneously populates several eigenstates and transitions…

Quantum Physics · Physics 2025-04-08 R. Pant , P. K. Verma , C. Rangi , E. Mondal , M. Bhati , V. Srinivasan , S. Wüster

In quantum information processing, the development of fast and robust control schemes remains a central challenge. Although quantum adiabatic evolution is inherently robust against control errors, it typically demands long evolution times.…

Quantum Physics · Physics 2026-01-16 Tonghao Xing , Jiang Zhang , Guilu Long

Dynamical phase transition in quantum many body systems is usually studied by taking it in the ground state and then quenching a parameter to a new value. We investigate here the dynamics when one performs the time evolution of a generic…

Statistical Mechanics · Physics 2020-08-04 Sirshendu Bhattacharyya , Subinay Dasgupta

Recently, the technique of counterdiabatic driving, which provides an effective strategy for accelerating adiabatic quantum evolution, has been widely applied in the preparation of many-body quantum states. In this work, we propose a…

Quantum Physics · Physics 2026-05-15 Fengzhe Tang , Gangcheng Wang