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Memory (non-Markovian) effect is found to be able to accelerate quantum evolution [S. Deffner and E. Lutz, Phys. Rev. Lett. 111, 010402 (2013)]. In this work, for an atom in a structured reservoir, we show that the mechanism for the speedup…

Quantum Physics · Physics 2015-03-09 Zhen-Yu Xu , Shunlong Luo , W. L. Yang , Chen Liu , Shiqun Zhu

To investigate the impact of non-linear interactions on dynamic coarse graining, we study a simplified model system, featuring a tracer particle in a complex environment. Using a projection operator formalism and computer simulations, we…

Soft Condensed Matter · Physics 2023-07-18 Bernd Jung , Gerhard Jung

The way tension propagates along a chain is a key to govern many of anomalous dynamics in macromolecular systems. After introducing the weak and the strong force regimes of the tension propagation, we focus on the latter, in which the…

Soft Condensed Matter · Physics 2015-04-27 Takuya Saito , Takahiro Sakaue

Kinetics of biological motors such as kinesin or dynein is notably influenced by viscoelastic intracellular environment. The characteristic relaxation time of the cytosol is not separable from the colloidal timescale and therefore their…

Statistical Mechanics · Physics 2025-12-09 Mateusz Wiśniewski , Jakub Spiechowicz

The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the brain's learning and memory systems. Activity-dependent plasticity reshapes neural circuit architecture, determining spontaneous and…

Neurons and Cognition · Quantitative Biology 2023-06-30 Heather L Cihak , Zachary P Kilpatrick

We use a Quantum Extreme Learning Machine for characterizing and estimating parameters of quantum dynamics generated by a tunable collision model. The input to the learning protocol consists of quantum states produced by successive system…

Quantum Physics · Physics 2026-03-19 Hajar Assil , Abderrahim El Allati , Gian Luca Giorgi

We study the Langevin dynamics of diffusive particles with regular pairwise interactions under mean-field scaling. By approximating empirical distributions with conditional distributions, we establish coercive and contractive properties for…

Probability · Mathematics 2026-05-28 Songbo Wang

The time-dependent barrier passage of an anomalous damping system is studied via the generalized Langevin equation (GLE) with non-Ohmic memory damping friction tensor and corresponding thermal colored noise tensor describing a particle…

Statistical Mechanics · Physics 2015-05-13 Chun-Yang Wang

In forecasting problems it is important to know whether or not recent events represent a regime change (low long-term predictive potential), or rather a local manifestation of longer term effects (potentially higher predictive potential).…

Methodology · Statistics 2014-07-09 Timothy Graves , Robert B. Gramacy , Christian Franzke , Nicholas Watkins

We study the emergence of correlations between $N$ components of the position of a diffusive walker in $N$ dimensions that starts at the origin and resets to previously visited sites with certain probabilities. This is equivalent to $N$…

Statistical Mechanics · Physics 2026-03-31 Denis Boyer , Satya N. Majumdar

We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We…

Quantum Physics · Physics 2019-03-21 Jose Teittinen , Henri Lyyra , Boris Sokolov , Sabrina Maniscalco

Macroscopic parameters as well as precise information on the random force characterizing the Langevin type description of the nuclear fusion process around the Coulomb barrier are extracted from the microscopic dynamics of individual…

Nuclear Theory · Physics 2013-07-04 Kai Wen , Fumihiko Sakata , Zhu-Xia Li , Xi-Zhen Wu , Ying-Xun Zhang , Shan-Gui Zhou

The mean first-passage time (MFPT) is one standard measure for the reaction time in thermally activated barrier-crossing processes. While the relationship between MFPTs and phenomenological rate coefficients is known for systems that…

Statistical Mechanics · Physics 2024-03-12 Qingyuan Zhou , Roland R. Netz , Benjamin A. Dalton

We consider a continuous-space and continuous-time diffusion process under resetting with memory. A particle resets to a position chosen from its trajectory in the past according to a memory kernel. Depending on the form of the memory…

Statistical Mechanics · Physics 2017-11-29 Denis Boyer , Martin R. Evans , Satya N. Majumdar

In the face of the upcoming 30th anniversary of econophysics, we review our contributions and other related works on the modeling of the long-range memory phenomenon in physical, economic, and other social complex systems. Our group has…

Physics and Society · Physics 2021-08-31 Rytis Kazakevicius , Aleksejus Kononovicius , Bronislovas Kaulakys , Vygintas Gontis

We investigate the presence of memory in the sequential measurement statistics of an open quantum system, as witnessed by the departure from the quantum regression theorem (QRT), that is, the possibility to predict multitime probabilities…

Quantum Physics · Physics 2026-05-08 Paolo Luppi , Claudia Benedetti , Andrea Smirne

The prevailing description for dissipative quantum dynamics is given by the Lindblad form of a Markovian master equation, used under the assumption that memory effects are negligible. However, in certain physical situations, the master…

Quantum Physics · Physics 2009-11-10 Sonja Daffer , Krzysztof Wodkiewicz , James D. Cresser , John K. McIver

Quantum information processing relies on how dynamics unfold in open quantum systems. In this work, we study the non-Markovian dynamics in the single mode spin-boson model at strong couplings. In order to apply perturbation theory, we…

Quantum Physics · Physics 2025-01-03 Rayees A Mala , Mehboob Rashid , Muzaffar Qadir Lone

We study the emergence of quantum memory effects in a spin-boson system at finite temperature driven by an external time-periodic force. Quantifying memory effects by the trace-distance based measure for non-Markovianity and performing…

Quantum Physics · Physics 2026-02-05 Pietro Follia , Bassano Vacchini , Heinz-Peter Breuer

A generalization of the economic model of logistic growth, which takes into account the effects of memory and crises, is suggested. Memory effect means that the economic factors and parameters at any given time depend not only on their…

Economics · Quantitative Finance 2017-12-27 Valentina V. Tarasova , Vasily E. Tarasov
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