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We analyze the depth of the memory of quantum memory channels generated by a fixed unitary transformation describing the interaction between the principal system and internal degrees of freedom of the process device. We investigate the…

Quantum Physics · Physics 2009-08-03 Mário Ziman , Tomáš Rybár

Memory effects play an important role in the theory of open quantum systems. There are two completely independent insights about memory for quantum channels. In quantum information theory, the memory of the quantum channel is depicted by…

Quantum Physics · Physics 2019-05-31 N. Awasthi , S. Haseli , U. C Johri , S. Salimi , H. Dolatkhah , A. S. Khorashad

This work proposes a two-dimensional electrophysiological model for describing neuronal responses to external electric stimuli under patch-clamped conditions. Our proposed model successfully captures the key features of the Hodgkin-Huxley…

Neurons and Cognition · Quantitative Biology 2023-12-13 Lízia Maria Gonçalves Branco , Rui Manuel Agostinho Dilão

The stochastic opening and closing of voltage-gated ion channels produces noise in neurons. The effect of this noise on the neuronal performance has been modelled using either approximate or Langevin model, based on stochastic differential…

Neurons and Cognition · Quantitative Biology 2015-05-14 B. Sengupta , S. B. Laughlin , J. E. Niven

Experiments have shown that the conductance of conical channels, filled with an aqueous electrolyte, can strongly depend on the history of the applied voltage. These channels hence have a memory and are promising elements in brain-inspired…

Soft Condensed Matter · Physics 2023-06-28 T. M. Kamsma , W. Q. Boon , T. ter Rele , C. Spitoni , R. van Roij

Quantum annealing leverages quantum tunneling for non-local searches, thereby minimizing memory effects that typically arise from metastabilities. Nonetheless, recent work has demonstrated robust hysteresis in large-scale transverse-field…

Quantum Physics · Physics 2025-07-25 Frank Barrows , Elijah Pelofske , Pratik Sathe , Francesco Caravelli , Cristiano Nisoli

We investigate cross-correlations in the tunneling currents through two parallel quantum dots coupled to independent electrodes and gates and interacting via an inter-dot Coulomb interaction. The correlations reveal additional information,…

Mesoscale and Nanoscale Physics · Physics 2008-02-26 Sebastian Haupt , Jasmin Aghassi , Matthias H. Hettler , Gerd Sch"on

In this work we report on the role of ion transport for the dynamic behavior of a double barrier quantum mechanical Al/Al$_2$O$_3$/Nb$_{\text{x}}$O$_{\text{y}}$/Au memristive device based on numerical simulations in conjunction with…

Materials Science · Physics 2016-05-31 Sven Dirkmann , Mirko Hansen , Martin Ziegler , Hermann Kohlstedt , Thomas Mussenbrock

Quantum memory effects are essential in understanding and controlling open quantum systems, yet distinguishing them from classical memory remains challenging. We introduce a convex geometric framework to analyze quantum memory propagating…

Quantum Physics · Physics 2025-04-14 Mei Yu , Ties-A. Ohst , Hai-Chau Nguyen , Stefan Nimmrichter

We investigate the real-time current response of strongly-correlated quantum dot systems under sinusoidal driving voltages. By means of an accurate hierarchical equations of motion approach, we demonstrate the presence of prominent memory…

Strongly Correlated Electrons · Physics 2015-06-15 Xiao Zheng , YiJing Yan , Massimiliano Di Ventra

Memory is the fundamental form of temporal complexity: when present but uncontrollable, it manifests as non-Markovian noise; conversely, if controllable, memory can be a powerful resource for information processing. Memory effects arise…

Quantum Physics · Physics 2024-05-07 Philip Taranto , Marco Túlio Quintino , Mio Murao , Simon Milz

We investigate the effects of a quantum entanglement regime within an ion conducting molecule (ion channel) of the neuronal plasma membrane on the onset dynamics of propagating nerve pulses (action potentials). In particular, we model the…

Biological Physics · Physics 2007-12-11 Johann Summhammer , Gustav Bernroider

Dynamics of a system in general depends on its initial state and how the system is driven, but in many-body systems the memory is usually averaged out during evolution. Here, interacting quantum systems without external relaxations are…

Quantum Gases · Physics 2017-09-27 Chen-Yen Lai , Chih-Chun Chien

Fluidic iontronics is emerging as a distinctive platform for implementing neuromorphic circuits, characterized by its reliance on the same aqueous medium and ionic signal carriers as the brain. Drawing upon recent theoretical advancements…

Soft Condensed Matter · Physics 2024-06-03 T. M. Kamsma , E. A. Rossing , C. Spitoni , R. van Roij

Travelling waves of neural firing activity are observed in brain tissue as a part of various sensory, motor and cognitive processes. They represent an object of major interest in the study of excitable networks, with analysis conducted in…

Neurons and Cognition · Quantitative Biology 2025-11-10 Henry D. J. Kerr , Peter Ashwin , Kyle C. A. Wedgwood

Quantum memory effects can be related to a bidirectional exchange of information between an open system and its environment, which in turn modifies the state and dynamical behavior of the last one. Nevertheless, non-Markovianity can also be…

Quantum Physics · Physics 2021-01-26 Adrián A. Budini

Voltage-activated ion channels vary randomly between open and closed states, influenced by the membrane potential and other factors. Signal transduction is enhanced by noise in a simple ion channel model. The enhancement occurs in a finite…

Biological Physics · Physics 2007-05-23 Michael J. Barber , Manfred L. Ristig

Dynamic reconfiguration of charge carriers in confined ion-channels under electrical stimulation produces memory effects, where the internal resistance depends on history of the electric field. Vermiculite nanofluidic devices harness this…

The Hodgkin-Huxley model describes the behavior of the cell membrane in neurons, treating each part of it as an electric circuit element, namely capacitors, memristors, and voltage sources. We focus on the activation channel of potassium…

Current auto- and cross-correlations are studied in a system of two capacitively coupled quantum dots. We are interested in a role of Coulomb interaction in dynamical correlations, which occur outside the Coulomb blockade region (for high…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Grzegorz Michalek , Bogdan R. Bulka