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Fano varieties are basic building blocks in geometry - they are `atomic pieces' of mathematical shapes. Recent progress in the classification of Fano varieties involves analysing an invariant called the quantum period. This is a sequence of…

Algebraic Geometry · Mathematics 2023-09-12 Tom Coates , Alexander M. Kasprzyk , Sara Veneziale

Catalysis, the acceleration of product formation by a substance that is left unchanged, typically results from multiple elementary processes, including diffusion of the reactants toward the catalyst, chemical steps, and release of the…

Chemical Physics · Physics 2023-12-27 Yann Sakref , Maitane Muñoz-Basagoiti , Zorana Zeravcic , Olivier Rivoire

Stochastic thermodynamics gives universal relations for microscopic entropy production, yet its critical behavior at macroscopic nonequilibrium transitions remains unclassified. We study well-mixed reversible chemical reaction networks in…

Statistical Mechanics · Physics 2026-05-06 Kyota Tamano , Keiji Saito

We derive a bound for entropy production in terms of the mean of normalizable path-antisymmetric observables. The optimal observable for this bound is shown to be the signum of entropy production, which is often easier determined or…

Statistical Mechanics · Physics 2024-10-07 Gabriel Knotz , Till M. Muenker , Timo Betz , Matthias Krüger

We measure the current and shot noise in a quantum dot (QD) in the Kondo regime to address the non-equilibrium properties of the Kondo effect. By systematically tuning the temperature and gate voltages to define the level positions in the…

Understanding the fluctuations of observables is one of the main goals in science, be it theoretical or experimental, quantum or classical. We investigate such fluctuations when only a subregion of the full system can be observed, focusing…

Strongly Correlated Electrons · Physics 2022-02-02 Benoit Estienne , Jean-Marie Stéphan , William Witczak-Krempa

Shot-noise of electrons that are transmitted with probability $T$ through a quantum point contact (biased at a voltage $V_0$) leads to a fluctuating current that in turn emits radiation in the microwave regime. By calculating the Fano…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Fabian Hassler , Daniel Otten

Tracking the time evolution of a quantum state allows one to verify the thermalization rate or the propagation speed of correlations in generic quantum systems. Inspired by the energy-time uncertainty principle, bounds have been…

For thermoelectric power generation in a multi-terminal geometry, strong numerical evidence for a universal bound as a function of the magnetic-field induced asymmetry of the non-diagonal Onsager coefficients is presented. This bound…

Statistical Mechanics · Physics 2015-01-13 Kay Brandner , Udo Seifert

A quantum mechanical generalization of superstatistics is presented here based on the positive operator valued measure transformation property of the system density matrix. This procedure reveals that the origin of the fluctuating factors…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. K. Rajagopal

In open quantum systems, the quantum Zeno effect consists in frequent applications of a given quantum operation, e.g.~a measurement, used to restrict the time evolution (due e.g.~to decoherence) to states that are invariant under the…

Quantum Physics · Physics 2025-03-19 Tim Möbus , Cambyse Rouzé

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

We consider the apparatus in a quantum measurement process to be in a mixed state. We propose a simple upper bound on the probability of correctly distinguishing any number of mixed states. We use this to derive fundamental bounds on the…

Quantum Physics · Physics 2007-05-23 S. Bose , V. Vedral

Biological molecular machines are proteins that operate under isothermal conditions hence are referred to as free energy transducers. They can be formally considered as enzymes that simultaneously catalyze two chemical reactions: the free…

Biological Physics · Physics 2014-02-05 Michal Kurzynski , Mieczyslaw Torchala , Przemyslaw Chelminiak

Particle-like objects are observed to propagate and interact in many spatially extended dynamical systems. For one of the simplest classes of such systems, one-dimensional cellular automata, we establish a rigorous upper bound on the number…

Cellular Automata and Lattice Gases · Physics 2009-10-31 Wim Hordijk , Cosma Rohilla Shalizi , James P. Crutchfield

We use Full Counting Statistics to study fluctuations and optimal control in a three-terminal Floquet quantum thermal transistor. We model the setup using three qubits (termed as the emitter, collector and base) coupled to three thermal…

Quantum Physics · Physics 2024-12-24 Samir Das , Shishira Mahunta , Nikhil Gupt , Victor Mukherjee , Arnab Ghosh

Cells generally convert nutrient resources to useful products via energy transduction. Accordingly, the thermodynamic efficiency of this conversion process is one of the most essential characteristics of living organisms. However, although…

Biological Physics · Physics 2016-05-04 Yusuke Himeoka , Kunihiko Kaneko

We obtain upper bounds on the number of singular points of factorial terminal Fano threefolds.

Algebraic Geometry · Mathematics 2017-08-02 Yu. Prokhorov

Autocatalytic chemical networks play a predominant role in a large number of natural systems such as in metabolic pathways and in ecological networks. Despite recent efforts, the precise impact of thermodynamic constraints on these networks…

Chemical Physics · Physics 2024-06-14 Armand Despons , Yannick de Decker , David Lacoste

The Fano resonance has been a familiar and important feature in atomic and molecular physics for more than half a century. Typically, the combination of a discrete state with one or more continua results in an asymmetric peak in the…

Atomic Physics · Physics 2021-02-22 Masatomi Iizawa , Satoshi Kosugi , Fumihiro Koike , Yoshiro Azuma
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