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We estimate the canonical entropy of a quantum black hole by counting its quasi-normal modes. We first show that the partition function of a classical black hole, evaluated by counting the quasi-normal modes with a thermodyanmic Boltzmann…

High Energy Physics - Theory · Physics 2023-05-03 Naritaka Oshita , Niayesh Afshordi

Using semiclassical methods, it is possible to construct very accurate approximations in the short wavelength limit of quantum dynamics that rely exclusively on classical dynamical input. For systems whose classical realization is strongly…

Quantum Physics · Physics 2016-09-28 Steven Tomsovic

We consider the problem of understanding the basic features displayed by quantum systems described by parametric oscillators whose time-dependent frequency parameter $\omega(t)$ varies continuously during evolution so to realise quenching…

Quantum Physics · Physics 2023-12-22 Mariagiovanna Gianfreda , Giulio Landolfi

Quantum decay in an ac driven biased periodic potential modeling cold atoms in optical lattices is studied for a symmetry broken driving. For the case of fully chaotic classical dynamics the classical exponential decay is quantum…

Quantum Physics · Physics 2009-11-11 S. Mossmann , C. Schumann , H. J. Korsch

We use a recent result to show that the rate of loss of coherence of a quantum system increases with increasing system phase space structure and that a chaotic quantal system in the semiclassical limit decoheres exponentially with rate $2…

chao-dyn · Physics 2009-10-30 Arjendu K. Pattanayak , Paul Brumer

The existence of a quantum butterfly effect in the form of exponential sensitivity to small perturbations has been under debate for a long time. Lately, this question gained increased interest due to the proposal to probe chaotic dynamics…

Statistical Mechanics · Physics 2019-04-10 Markus Schmitt , Dries Sels , Stefan Kehrein , Anatoli Polkovnikov

In Echo experiments, imperfect time-reversal operations are performed on a subset of the total number of degrees of freedom. To capture the physics of these experiments, we introduce a partial fidelity, the Boltzmann echo, where only part…

Quantum Physics · Physics 2009-11-13 Cyril Petitjean , Philippe Jacquod

We introduce the Loschmidt amplitude as a powerful tool to perform spectroscopy of generic many-body wave functions and use it to interrogate the wave function obtained after ramping the transverse field quantum Ising model through its…

Statistical Mechanics · Physics 2020-02-19 D. M. Kennes , C. Karrasch , A. J. Millis

We make the first steps towards a generic theory for energy spreading and quantum dissipation. The Wall formula for the calculation of friction in nuclear physics and the Drude formula for the calculation of conductivity in mesoscopic…

Condensed Matter · Physics 2009-10-31 Doron Cohen

We explore the border between regular and chaotic quantum dynamics, characterized by a power law decrease in the overlap between a state evolved under chaotic dynamics and the same state evolved under a slightly perturbed dynamics. This…

Quantum Physics · Physics 2018-03-28 Yaakov S. Weinstein , Constantino Tsallis , Seth Lloyd

We report an efficient quantum algorithm for estimating the local density of states (LDOS) on a quantum computer. The LDOS describes the redistribution of energy levels of a quantum system under the influence of a perturbation. Sometimes…

Quantum Physics · Physics 2009-11-10 Joseph Emerson , Seth Lloyd , David Poulin , David Cory

The phenomenon of resonant energization of a relativistic quantum particle, moving in unison with an intense ElectroMagnetic Wave, is demonstrated in a semiclassical calculation. The wave nature of the quantum particle is of essence because…

High Energy Astrophysical Phenomena · Physics 2019-10-21 Swadesh M. Mahajan

Considering nonintegrable quantum Ising chains with exponentially decaying interactions, we present matrix product state results that establish a connection between low-energy quasiparticle excitations and the kind of nonanalyticities in…

Strongly Correlated Electrons · Physics 2020-07-29 Jad C. Halimeh , Maarten Van Damme , Valentin Zauner-Stauber , Laurens Vanderstraeten

We calculate the system-size-over-wave-length ($M$) dependence of sample-to-sample conductance fluctuations, using the open kicked rotator to model chaotic scattering in a ballistic quantum dot coupled by two $N$-mode point contacts to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Tworzydlo , A. Tajic , C. W. J. Beenakker

Entropy production characterizes irreversibility. This viewpoint allows us to consider the thermodynamic uncertainty relation, which states that a higher precision can be achieved at the cost of higher entropy production, as a relation…

Statistical Mechanics · Physics 2021-12-09 Yoshihiko Hasegawa

Random measurements have been shown to induce a phase transition in an extended quantum system evolving under chaotic unitary dynamics, when the strength of measurements exceeds a threshold value. Below this threshold, a steady state with a…

Statistical Mechanics · Physics 2021-06-02 Ruihua Fan , Sagar Vijay , Ashvin Vishwanath , Yi-Zhuang You

A classical particle in a harmonic potential gives rise to a continuous energy spectra, whereas the corresponding quantum particle exhibits countably infinite quantized energy levels. In recent years, classical non-Markovian wave-particle…

Adaptation and Self-Organizing Systems · Physics 2025-01-16 Álvaro G. López , Rahil N. Valani

We study how decoherence rules the quantum-classical transition of the Kicked Harmonic Oscillator (KHO). When the amplitude of the kick is changed the system presents a classical dynamics that range from regular to a strong chaotic…

Quantum Physics · Physics 2009-11-13 Fabricio Toscano , Diego A. Wisniacki

Irreversibility implies a preferred flow of time, yet special relativity denies the existence of a preferred clock. This tension has long obstructed the formulation of a relativistic master equation: standard Markovian approximations either…

Quantum Physics · Physics 2025-12-23 Pranav Vaidhyanathan , Gerard J. Milburn

After reviewing the main features of anomalous energy transport in 1D systems, we report simulations performed with chains of noisy anharmonic oscillators. The stochastic terms are added in such a way to conserve total energy and momentum,…

Statistical Mechanics · Physics 2008-01-25 G. Basile , L. Delfini , S. Lepri , R. Livi , S. Olla , A. Politi