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We revisit the proof of the limiting free energy of the continuous random energy model (CREM) using the Hamilton--Jacobi approach for mean-field disordered systems. To achieve this, we introduce an enriched model that interpolates between…

Probability · Mathematics 2025-08-26 Alexander Alban , Fu-Hsuan Ho , Justin Ko

We investigate the effects of randomness in a strongly correlated electron model in one-dimension at half-filling. The ground state correlation functions are exactly written by products of 3$\times$3 transfer matrices and are evaluated…

Strongly Correlated Electrons · Physics 2009-10-28 Masanori Yamanaka , Mahito Kohmoto

We show how many-body ground state entanglement information may be extracted from sub-system energy measurements at zero temperature. A precise relation between entanglement and energy fluctuations is demonstrated in the weak coupling…

Quantum Physics · Physics 2009-11-11 Andrew N. Jordan , Markus Buttiker

We show that trapped ions can be used to simulate a highly symmetrical Hamiltonian with eingenstates naturally protected against local sources of decoherence. This Hamiltonian involves long range coupling between particles and provides a…

We calculate the energy and the condensate fraction of a system of trapped bosons interacting via a short-range two-body potential with positive scattering length. The potential is attractive and has a two-body bound state. When the…

Quantum Physics · Physics 2009-07-17 M. Thøgersen , D. V. Fedorov , A. S. Jensen

This paper addresses the regulation and trajectory-tracking problems for two classes of weakly coupled electromechanical systems. To this end, we formulate an energy-based model for these systems within the port-Hamiltonian framework. Then,…

Systems and Control · Electrical Eng. & Systems 2024-07-12 N. Javanmardi , P. Borja , M. J. Yazdanpanah , J. M. A. Scherpen

Atoms excited into high-lying Rydberg states and under strong dipole-dipole interactions exhibit phenomena associated with highly correlated and complex systems. We perform first principles numerical simulations on the dynamics of such…

A twist between two systems offers the possibility to drastically change the underlying physical properties. To that end, we study the bandstructure of twisted moir\'e potentials in detail. At sets of commensurate twisting angles, the low…

Quantum Gases · Physics 2025-04-11 Dean Johnstone , Shanya Mishra , Zhaoxuan Zhu , Laurent Sanchez-Palencia

The Hamiltonian Mean Field (HMF) model has a low-energy phase where $N$ particles are trapped inside a cluster. Here, we investigate some properties of the trapping/untrapping mechanism of a single particle into/outside the cluster. Since…

Chaotic Dynamics · Physics 2007-11-25 Hiroko Koyama , Tetsuro Konishi , Stefano Ruffo

Cold-atom experiments which measure Fermi-gas properties near unitarity confine fermionic atoms to a region of space using trapping potentials of various shapes. The presence of a trapping potential introduces a new characteristic physical…

Quantum Gases · Physics 2026-05-29 Silas R. Beane , Adèle Le Borgne , Domenico Orlando , Susanne Reffert

We identify string corrections to the EM memory effect. Though largely negligible in the low-energy limit, the effect become relevant in high-energy collisions and in extreme events. We illustrate our findings in a simple unoriented bosonic…

High Energy Physics - Theory · Physics 2021-02-03 Alice Aldi , Massimo Bianchi , Maurizio Firrotta

We investigate the elastic energy stored in a filament pair as a function of applied twist by measuring torque under prescribed end-to-end separation conditions. We show that the torque increases rapidly to a peak with applied twist when…

Soft Condensed Matter · Physics 2024-03-12 Julien Chopin , Animesh Biswas , Arshad Kudrolli

The integration of heavy scalar fields is discussed in a class of BSM models, containing more that one representation for scalars and with mixing. The interplay between integrating out heavy scalars and the Standard Model decoupling limit…

High Energy Physics - Phenomenology · Physics 2016-03-14 Michele Boggia , Raquel Gomez-Ambrosio , Giampiero Passarino

We study the interactions of Maldacena's long folded strings in two-dimensional string theory. We find the amplitude for a state containing two long folded strings to come and go back to infinity. We calculate this amplitude both in the…

High Energy Physics - Theory · Physics 2008-11-26 J. -E. Bourgine , K. Hosomichi , I. Kostov , Y. Matsuo

The entanglement dynamics of two independent qubits each embedded in a structured environment under conditions of inhibition of spontaneous emission is analyzed, showing entanglement trapping. We demonstrate that entanglement trapping can…

Quantum Physics · Physics 2010-03-30 Bruno Bellomo , Rosario Lo Franco , Sabrina Maniscalco , Giuseppe Compagno

Based on a recent proposal [O.P. Sushkov, Phys. Rev. B 64, 155319 (2001)], we relate the quantum conductance through a sample in which electrons are strongly correlated to the persistent current of a large ring, composed of the sample and a…

Strongly Correlated Electrons · Physics 2009-11-07 Rafael A. Molina , Dietmar Weinmann , Rodolfo A. Jalabert , Gert-Ludwig Ingold , Jean-Louis Pichard

A novel and powerful method is presented for the study of rare switching events in complex systems with multiscale energy landscapes. The method performs an umbrella sampling of the equilibrium distribution of the system in hyperplanes…

Condensed Matter · Physics 2007-05-23 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

Motivated by the constrained many-body dynamics, the stability of the localization-delocalization properties to the inclusion of the soft constraints is addressed in random matrix models. These constraints are modeled by correlations in…

Disordered Systems and Neural Networks · Physics 2019-07-01 P. A. Nosov , I. M. Khaymovich

Understanding the stability of integrability in many-body quantum systems is key to controlling dynamics and predicting thermalization. While the breakdown of integrability in short-range interacting systems is well understood, the role of…

Statistical Mechanics · Physics 2026-04-07 Soumya Kanti Pal , Lea F Santos

The paper suggests a new stochastic model for energy producing, dispatching, and storing in the multi-battery setting that takes into account the topology of the system of the links between the batteries, the transmission and storage…

Optimization and Control · Mathematics 2019-10-15 Nikolai Dokuchaev