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We consider a quantum Brownian particle interacting with two harmonic baths, which is then perturbed by a cubic coupling linking the particle and the baths. This cubic coupling induces non-linear dissipation and noise terms in the influence…

Statistical Mechanics · Physics 2019-09-04 Bidisha Chakrabarty , Soumyadeep Chaudhuri , R. Loganayagam

In this work, we study the time-dependent behaviour of quantum correlations of a system of an inverted oscillator governed by out-of-equilibrium dynamics using the well-known Schwinger-Keldysh formalism in presence of quantum mechanical…

High Energy Physics - Theory · Physics 2024-10-04 Sayantan Choudhury , Suman Dey , Rakshit Mandish Gharat , Saptarshi Mandal , Nilesh Pandey

The out of time order correlator (OTOC) serves as a powerful tool for investigating quantum information spreading and chaos in complex systems. We present a method employing non-equilibrium dynamical mean-field theory (DMFT) and coherent…

Strongly Correlated Electrons · Physics 2026-02-20 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

We study the effective dynamics of an open scalar field interacting with a strongly-coupled two-dimensional rotating CFT plasma. The effective theory is determined by the real-time correlation functions of the thermal plasma. We employ…

High Energy Physics - Theory · Physics 2021-09-10 Bidisha Chakrabarty , P. M. Aswin

Out-of-time-ordered correlators (OTOC) have been proposed to characterize quantum chaos in generic systems. However, they can also show interesting behavior in integrable models, resembling the OTOC in chaotic systems in some aspects. Here…

Statistical Mechanics · Physics 2018-04-25 Cheng-Ju Lin , Olexei I. Motrunich

Out-of-time-ordered-correlators (OTOCs) have been suggested as a means to diagnose chaotic behavior in quantum mechanical systems. Recently, it was found that OTOCs display exponential growth for the inverted quantum harmonic oscillator,…

High Energy Physics - Theory · Physics 2024-08-26 Paul Romatschke

Out-of-time-ordered correlators (OTOCs) have been suggested as a means to study quantum chaotic behavior in various systems. In this work, I calculate OTOCs for the quantum mechanical anharmonic oscillator with quartic potential, which is…

High Energy Physics - Theory · Physics 2021-02-03 Paul Romatschke

The motion of a free quantum particle in a thermal environment is usually described by the quantum Langevin equation, where the effect of the bath is encoded through a dissipative and a noise term, related to each other via the fluctuation…

Statistical Mechanics · Physics 2020-12-16 Avijit Das , Abhishek Dhar , Ion Santra , Urbashi Satpathi , Supurna Sinha

We study the dynamics of an overdamped Brownian particle in a thermal bath that contains a dilute solution of active particles. The particle moves in a harmonic potential and experiences Poisson shot-noise kicks with specified amplitude…

Statistical Mechanics · Physics 2024-07-18 Costantino Di Bello , Rita Majumdar , Rahul Marathe , Ralf Metzler , Edgar Roldan

We study the Caldeira-Leggett model where a quantum Brownian particle interacts with an environment or a bath consisting of a collection of harmonic oscillators in the path integral formalism. Compared to the contours that the paths take in…

Statistical Mechanics · Physics 2019-12-11 Joonhyun Yeo

The time-dependence of multi-point observable correlation functions are essential quantities in analysis and simulation of quantum dynamics. Open quantum systems approaches utilize two-point correlations to describe the influence of an…

Quantum Physics · Physics 2025-10-27 Yoana R. Chorbadzhiyska , Peter A. Ivanov , Charlie Nation

We investigate both theoretically and numerically the dynamics of Out-of-Time-Ordered Correlators (OTOCs) in quantum resonance condition for a kicked rotor model. We employ various operators to construct OTOCs in order to thoroughly…

Quantum Physics · Physics 2024-01-30 Guanling Li , Wen-Lei Zhao

Employing a recently developed approach to dynamically emergent quantum thermodynamics, we revisit the thermodynamic behavior of the quantum Otto cycle with a focus on memory effects and strong system-bath couplings. Our investigation is…

Quantum Physics · Physics 2024-03-11 Irene Ada Picatoste , Alessandra Colla , Heinz-Peter Breuer

The scrambling of quantum information in closed many-body systems, as measured by out-of-time-ordered correlation functions (OTOCs), has lately received considerable attention. Recently, a hydrodynamical description of OTOCs has emerged…

Statistical Mechanics · Physics 2018-09-12 Tibor Rakovszky , Frank Pollmann , C. W. von Keyserlingk

We present exact results for the classical version of the Out-of-Time-Order Commutator (OTOC) for a family of power-law models consisting of $N$ particles in one dimension and confined by an external harmonic potential. These particles are…

Statistical Mechanics · Physics 2022-06-29 Bhanu Kiran S. , David A. Huse , Manas Kulkarni

Scrambling of quantum information can be conveniently quantified by so called out-of-time-order-correlators (OTOCs), whose measurements presents a formidable experimental challenge. Here we report on a method for the measurement of OTOCs…

Quantum Physics · Physics 2017-06-28 Michele Campisi , John Goold

We study a center-of-mass-conserving Brownian complex Sachdev-Ye-Kitaev model with long-range (power-law) interactions characterized by $1/r^\eta$. The kinetic constraint and long-range interactions conspire to yield rich hydrodynamics…

Statistical Mechanics · Physics 2024-09-19 Bai-Lin Cheng , Shao-Kai Jian , Zhi-Cheng Yang

An extended formulation of out-of-time-ordered correlators (OTOCs), which quantify noncommutative operator growth and information scrambling in quantum many-body systems, is developed for turbulence dynamics as a representative of…

Plasma Physics · Physics 2026-02-26 Motoki Nakata

We use the Quantum Langevin equation as a starting point to study the response function, the position-velocity correlation function and the velocity autocorrelation function of a charged Quantum Brownian particle in the presence of a…

Statistical Mechanics · Physics 2022-03-10 Suraka Bhattacharjee , Urbashi Satpathi , Supurna Sinha

In the frames of classical mechanics the generalized Langevin equation is derived for an arbitrary mechanical subsystem coupled to the harmonic bath of a solid. A time-acting temperature operator is introduced for the quantum Klein-Kramers…

Quantum Physics · Physics 2021-05-17 Roumen Tsekov
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