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A crossover between different power-law relaxation behaviors of many-body periodically driven integrable systems has come to light in recent years. We demonstrate using integrable quantum systems, that similar kinds of dynamical transitions…

Statistical Mechanics · Physics 2022-02-03 Aamir Ahmad Makki , Souvik Bandyopadhyay , Somnath Maity , Amit Dutta

We study bosonic systems in the regime in which the two-body system has a shallow bound state or, equivalently, a large value of the two-body scattering length. Using the effective field theory framework as a guide, we construct a series of…

Atomic Physics · Physics 2022-09-14 Paolo Recchia , Alejandro Kievsky , Luca Girlanda , Mario Gattobigio

The longitudinal and transverse structure functions are calculated for inclusive electron scattering from ${}^{12}$C and ${}^{40}$Ca in the quasielastic and dip region. The microscopic model presented here incorporates two-body currents…

Nuclear Theory · Physics 2016-09-08 Veerle Van der Sluys , Jan Ryckebusch , Michel Waroquier

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

Atomic Physics · Physics 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

We examine the spectral structure and many-body dynamics of two and three repulsively interacting bosons trapped in a one-dimensional double-well, for variable barrier height, inter-particle interaction strength, and initial conditions. By…

We propose a numerical technique for modeling the quantum multimode light scattering by a perfectly conducting body. Using the novel quantization technique, we give the quantum adaptation of the characteristic mode approach widely used in…

Quantum Physics · Physics 2021-12-20 Gregory Ya. Slepyan , Dmitri Mogilevtsev , Ilay Levie , Amir Boag

We study the link between relaxation to the equilibrium and anomalous superdiffusive motion in a classical N-body hamiltonian system with long-range interaction showing a second-order phase-transition in the canonical ensemble. Anomalous…

Statistical Mechanics · Physics 2009-10-31 V. Latora , A. Rapisarda , S. Ruffo

A distorted-wave version of the renormalisation group is applied to scattering by an inverse-square potential and to three-body systems. In attractive three-body systems, the short-distance wave function satisfies a Schroedinger equation…

Nuclear Theory · Physics 2009-11-10 Thomas Barford , Michael C. Birse

We have recently constructed a many-body theory for composite excitons, in which the possible carrier exchanges between $N$ excitons can be treated exactly through a set of dimensionless ``Pauli scatterings'' between two excitons. Many-body…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Combescot , O. Betbeder-Matibet , F. Dubin

We consider the classical map proposed previously to be the exact classical analogue of Rydberg Molecules calculated with the approximations relevant to the multi-channel quantum defect theory. The resulting classical map is analyzed at…

Chaotic Dynamics · Physics 2009-10-31 F. Leyvraz , M. Lombardi , T. H. Seligman

Long-range interactions and, in particular, two-body potentials with power-law long-distance tails are ubiquitous in nature. For two bosons or fermions in one spatial dimension, the latter case being formally equivalent to three-dimensional…

Quantum Gases · Physics 2017-07-12 Manuel Valiente , Patrik Ohberg

Particle transport in complex environments such as the interior of living cells is often (transiently) non-Fickian or anomalous, that is, it deviates from the laws of Brownian motion. Such anomalies may be the result of small-scale…

Statistical Mechanics · Physics 2022-02-15 Cai Dieball , Diego Krapf , Matthias Weiss , Aljaž Godec

We study the resonant tunneling effect in a many-body Wannier-Stark system, realized by ultracold bosonic atoms in an optical lattice subjected to an external Stark force. The properties of the many-body system are effectively described in…

Quantum Gases · Physics 2014-01-08 C. A. Parra-Murillo , S. Wimberger

We study diffusion in a one-dimensional periodic array of scatterers modeled by a simple map. The chaotic scattering process for this map can be changed by a control parameter and exhibits the dynamics of a crisis in chaotic scattering. We…

chao-dyn · Physics 2008-02-03 R. Klages , J. R. Dorfman

Natural and artificial self-propelled systems must manage environmental interactions during movement. Such interactions, which we refer to as active collisions, are fundamentally different from momentum-conserving interactions studied in…

We study the transmission through different small systems as a function of the coupling strength $v$ to the two attached leads. The leads are identical with only one propagating mode $\xi^E_C$ in each of them. Besides the conductance $G$,…

Other Condensed Matter · Physics 2009-11-13 E. N. Bulgakov , I. Rotter , A. F. Sadreev

Altermagnets exhibit a large electron spin splitting which can be understood as a result of strong coupling between itinerant electrons and localized spins. We consider superconductivity due to electron-magnon scattering, using…

Superconductivity · Physics 2024-04-25 Kristian Mæland , Bjørnulf Brekke , Asle Sudbø

We investigate the problem of two atoms interacting via a short range s-wave potential in the presence of a deep optical lattice of arbitrary dimension $D$. Using a tight binding approach, we derive analytical results for the properties of…

Other Condensed Matter · Physics 2009-11-11 M. Wouters , G. Orso

The autocorrelation function in many complex systems shows a crossover in the form of its decay: from stretched exponential relaxation (SER) at short times to power law at long times. Studies of the mechanisms leading to such multiple…

Statistical Mechanics · Physics 2024-02-20 Sukanta Mukherjee , Puneet Pareek , Mustansir Barma , Saroj Kumar Nandi

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich