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Preparation of non-trivial quantum states without introducing unwanted excitations or decoherence remains a central challenge in utilizing ultracold atomic systems for quantum simulation. We employ optimal control methods to realize fast,…

Reservoir computing is a form of machine learning that utilizes nonlinear dynamical systems to perform complex tasks in a cost-effective manner when compared to typical neural networks. Many recent advancements in reservoir computing, in…

Machine Learning · Computer Science 2025-04-03 Peter J. Ehlers , Hendra I. Nurdin , Daniel Soh

Dynamics of fluctuations in unstable Bose-Einstein condensates is analyzed by the solution of approximate operator equations. In the case of a condensate with a negative scattering length the present treatment describes a delay of collapse,…

Condensed Matter · Physics 2009-11-07 V. A. Yurovsky

Reservoir computing is a computational framework suited for temporal/sequential data processing. It is derived from several recurrent neural network models, including echo state networks and liquid state machines. A reservoir computing…

Physical reservoir computing is a computational framework that implements spatiotemporal information processing directly within physical systems. By exciting nonlinear dynamical systems and creating linear models from their state, we can…

Machine Learning · Computer Science 2025-07-08 Jake Love , Jeroen Mulkers , Robin Msiska , George Bourianoff , Jonathan Leliaert , Karin Everschor-Sitte

Assuming the existence of a Bose-Einstein condensate composed of the majority of a sample of ultracold, trapped atoms, perturbative treatments to incorporate the non-condensate fraction are common. Here we describe how this may be carried…

Quantum Gases · Physics 2017-08-23 S. A. Gardiner , T. P. Billam

State engineering of quantum objects is a central requirement in most implementations. In the cases where the quantum dynamics can be described by analytical solutions or simple approximation models, optimal state preparation protocols have…

Cold atomic ensembles and spinor Bose-Einstein condensates (BECs) are potential candidates for quantum memories as they have long coherence times and can be coherently controlled. Unlike most candidates for quantum memories which are…

Quantum Physics · Physics 2016-09-28 Shi Wang , Tim Byrnes

We explore the interplay between two emerging paradigms: reservoir computing and quantum computing. We observe how quantum systems featuring beyond-classical correlations and vast computational spaces can serve as non-trivial,…

Reservoir computing is a framework which is primarily used for temporal information processing, using the intrinsic dynamics of an underlying physical system. The framework, in a quantum setup, is implemented using ergodic dynamics…

Quantum Physics · Physics 2026-05-05 Gaurav Rudra Malik , Amit Kumar Jaiswal , S. Aravinda , Sunil Kumar Mishra

Physical reservoir computing is a computational framework that offers an energy- and computation-efficient alternative to conventional training of neural networks. In reservoir computing, input signals are mapped into the high-dimensional…

Soft Condensed Matter · Physics 2026-01-12 Veit-Lorenz Heuthe , Lukas Seemann , Samuel Tovey , Clemens Bechinger

We investigate the dynamics of an open Bose-Einstein condensate system consisting of two hyperfine states of the same atomic species which are coupled by tunable Raman laser. It is already suggested that the detuning between the laser…

Quantum Gases · Physics 2015-05-27 Yajiang Hao , Qiang Gu

Quantum reservoir computing (QRC) is a brain-inspired computational paradigm, exploiting natural dynamics of a quantum system for information processing. To date, a multitude of quantum systems have been utilized in the QRC, with diverse…

Quantum Physics · Physics 2025-06-23 Kaito Kobayashi , Yukitoshi Motome

We propose a pump scheme for quantum circulations, including counter-circulations for superposition states, of a spinor Bose-Einstein condensate. Our scheme is efficient and can be implemented within current experimental technologies and…

Quantum Gases · Physics 2010-05-24 Z. F. Xu , P. Zhang , R. Lü , L. You

We develop an approach based on stochastic quantum trajectories for an incoherently pumped system of interacting bosons relaxing their energy in a thermal reservoir. Our approach enables the study of the versatile coherence properties of…

Quantum Gases · Physics 2015-09-17 H. Flayac , I. G. Savenko , M. Möttönen , T. Ala-Nissila

We consider an atomic Bose-Einstein condensate held within an optical cavity and interacting with laser fields. We show how the interaction of the cavity mode with the condensate can cause energy due to excitations to be coupled to a lossy…

Condensed Matter · Physics 2009-10-31 S. A. Gardiner , K. M. Gheri , P. Zoller

Machine learning has been increasingly utilized in the field of biomedical research to accelerate the drug discovery process. In recent years, the emergence of quantum computing has been followed by extensive exploration of quantum machine…

Processes of association in an atomic Bose-Einstein condensate, and dissociation of the resulting molecular condensate, due to Feshbach resonance in a time-dependent magnetic field, are analyzed incorporating non-mean-field quantum…

Condensed Matter · Physics 2007-05-23 V. A. Yurovsky , A. Ben-Reuven

This is a less technical presentation of the ideas in quant-ph/9804035 [Phys Rev Lett 83 (1999), 1707-1710]. A second order phase transition induced by a rapid quench can lock out topological defects with densities far exceeding their…

Statistical Mechanics · Physics 2007-05-23 J. R. Anglin , W. H. Zurek

There is a growing interest in the development of artificial neural networks that are implemented in a physical system. A major challenge in this context is that these networks are difficult to train since training here would require a…

Emerging Technologies · Computer Science 2026-01-22 Michael te Vrugt