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We present an experimental and theoretical study of the effect of spatio-temporal fluctuations in quasi-reversible systems displaying a spatial quintic supercritical bifurcation. The saturation mechanism is drastically changed by the…

Pattern Formation and Solitons · Physics 2025-02-27 Marcel G. Clerc , Claudio Falcón , René G. Rojas

Fluctuations of the qubit frequencies are one of the major problems to overcome on the way to scalable quantum computers. Of particular importance are fluctuations with the correlation time that exceeds the decoherence time due to decay and…

Quantum Physics · Physics 2024-01-23 Filip Wudarski , Yaxing Zhang , Alexander Korotkov , A. G. Petukhov , M. I. Dykman

We analyze the influence of classical Gaussian noise on Landau-Zener transitions during a two-level crossing in a time-dependent regular external field. Transition probabilities and coherence factors become random due to the noise. We…

Statistical Mechanics · Physics 2009-11-10 V. L. Pokrovsky , S. Scheidl

Since the very first experiments, superconducting circuits have suffered from strong coupling to environmental noise, destroying quantum coherence and degrading performance. In state-of-the-art experiments, it is found that the relaxation…

Mesoscale and Nanoscale Physics · Physics 2015-08-04 Clemens Müller , Jürgen Lisenfeld , Alexander Shnirman , Stefano Poletto

We investigate theoretically and experimentally the full counting statistics of bidirectional single-electron tunneling through a double quantum dot in a GaAs/GaAlAs heterostructure and compare with predictions of the fluctuation theorem…

Mesoscale and Nanoscale Physics · Physics 2010-03-31 Y. Utsumi , D. S. Golubev , M. Marthaler , K. Saito , T. Fujisawa , Gerd Schön

Intrinsic transcriptional noise induced by operator fluctuations is investigated with a simple spin like stochastic model. The effects of transcriptional fluctuations in protein synthesis is probed by coupling transcription and translation…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Guilherme da C. P. Innocentini , Jose E. M. Hornos

Stochastic transitions between discrete microscopic states play an important role in many physical and biological systems. Often, these transitions lead to fluctuations on a macroscopic scale. A classic example from neuroscience is the…

Statistical Mechanics · Physics 2024-02-20 Lukas Ramlow , Benjamin Lindner

We analyse the effect of intrinsic fluctuations on the properties of bistable stochastic systems with time scale separation operating under1 quasi-steady state conditions. We first formulate a stochastic generalisation of the quasi-steady…

Biological Physics · Physics 2016-03-02 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

With superconducting transmon qubits --- a promising platform for quantum information processing --- two-qubit gates can be performed using AC signals to modulate a tunable transmon's frequency via magnetic flux through its SQUID loop.…

Correlations of ambient seismic or acoustic vibrations are now widely used to reconstruct the impulse response between two passive receivers as if a source was placed at one of them. This provides the opportunity to do imaging without a…

Other Condensed Matter · Physics 2009-11-13 Eric Larose , Arnaud Derode , Philippe Roux , Michel Campillo

Stochasticity is both exploited and controlled by cells. Although the intrinsic stochasticity inherent in biochemistry is relatively well understood, cellular variation, or 'noise', is predominantly generated by interactions of the system…

Molecular Networks · Quantitative Biology 2008-09-18 Vahid Shahrezaei , Julien F Ollivier , Peter S Swain

We present recent results on noise-induced transitions in a nonlinear oscillator with randomly modulated frequency. The presence of stochastic perturbations drastically alters the dynamical behaviour of the oscillator: noise can wash out a…

Chaotic Dynamics · Physics 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

Gaussian macroscopic fluctuation theory underpins the understanding of noise in a broad class of nonequilibrium systems. We derive exact fluctuation-response relations linking the power spectral density of stationary fluctuations to the…

Statistical Mechanics · Physics 2026-02-11 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

The filter function formalism quantitatively describes the dephasing of a qubit by a bath that causes Gaussian fluctuations in the qubit energies with an arbitrary noise power spectrum. Here, we extend this formalism to account for more…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Edwin Barnes , Mark S. Rudner , Frederico Martins , Filip K. Malinowski , Charles M. Marcus , Ferdinand Kuemmeth

We examine the noise-induced transition in a fluctuating bistable potential of a driven quantum system in thermal equilibrium. Making use of a Wigner canonical thermal distribution for description of the statistical properties of the…

Statistical Mechanics · Physics 2007-05-23 Pulak Kumar Ghosh , Debashis Barik , Deb Shankar Ray

Gene regulatory circuits show significant stochastic fluctuations in their circuit signals due to the low copy number of transcription factors. When a gene circuit component is connected to an existing circuit, the dynamic properties of the…

Quantitative Methods · Quantitative Biology 2009-10-30 Kyung Hyuk Kim , Herbert M. Sauro

A model of the premelting fluctuations is proposed, based on the Landau mean field theory applied to a first-order phase transition. Using the thermodynamic potential, the nonlinear Langevin equation for the order parameter is formulated,…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Pavel Golovinski

The effect of external fluctuations on the formation of spatial patterns is analysed by means of a stochastic Swift-Hohenberg model with multiplicative space-correlated noise. Numerical simulations in two dimensions show a shift of the…

Condensed Matter · Physics 2009-10-28 J. Garcia-Ojalvo , J. M. Sancho

Cellular processes do not follow deterministic rules; even in identical environments genetically identical cells can make random choices leading to different phenotypes. This randomness originates from fluctuations present in the…

Molecular Networks · Quantitative Biology 2016-02-02 Elijah Roberts , Shay Be'er , Chris Bohrer , Rati Sharma , Michael Assaf

We analyze the rates of noise-induced transitions between period-two attractors. The model investigated is an underdamped oscillator parametrically driven by a field at nearly twice the oscillator eigenfrequency. The activation energy of…

Optics · Physics 2016-09-08 M. I. Dykman , C. M. Maloney , V. N. Smelyanskiy , M. Silverstein