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We study the fluctuation properties of a one-dimensional many-body quantum system composed of interacting bosons, and investigate the regimes where quantum noise or, respectively, thermal excitations are dominant. For the latter we develop…

Quantum Gases · Physics 2010-07-16 H. -P. Stimming , N. J. Mauser , J. Schmiedmayer , I. E. Mazets

In this research article, we use the Shannon's formalism to investigate the quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect. For quantum information study, it is necessary to investigate the eigenstates of…

Quantum Physics · Physics 2023-05-31 F. C. E. Lima , A. R. P. Moreira , C. A. S. Almeida , C. O. Edet , N. Ali

Although the notion of entropy lies at the core of statistical mechanics, it is not often used in statistical mechanical models to characterize phase transitions, a role more usually played by quantities such as various order parameters,…

Statistical Mechanics · Physics 2016-08-31 D. A. Johnston , W. Janke , R. Kenna

We study a partially disordered one-dimensional system with interacting particles. Concretely, we impose a disorder potential to only every other site, followed by a clean site. Our numerical analysis of eigenstate properties is based on…

Quantum Gases · Physics 2024-03-29 Suman Mondal , Fabian Heidrich-Meisner

We investigate a model of high-dimensional dynamical variables with all-to-all interactions that are random and non-reciprocal. We characterize its phase diagram and show that the model can exhibit chaotic dynamics. We show that the…

Disordered Systems and Neural Networks · Physics 2025-12-15 Samantha J. Fournier , Alessandro Pacco , Valentina Ros , Pierfrancesco Urbani

An efficient algorithm to simulate dynamics of open quantum system is presented. The method describes the dynamics by unraveling stochastic wave functions converging to a density operator description. The stochastic techniques are based on…

Quantum Physics · Physics 2022-09-21 Ronnie Kosloff Uriel Shafir

The chaotic phase of the tilted Bose-Hubbard model is identified as a function of energy, tilt strength and particle interaction, from the eigenstate structure and the statistical features of the energy spectrum. Our analysis reveals that…

Quantum Physics · Physics 2026-05-08 Pilar Martín Clavero , Alberto Rodríguez

We develop an analytical many-body wave function to accurately describe the crossover of a one-dimensional bosonic system from weak to strong interactions in a harmonic trap. The explicit wave function, which is based on the exact two-body…

Quantum Gases · Physics 2015-05-30 Ioannis Brouzos , Peter Schmelcher

We investigate the behavior in $N$ of the $N$--particle entropy functional for Kac's stochastic model of Boltzmann dynamics, and its relation to the entropy function for solutions of Kac's one dimensional nonlinear model Boltzmann equation.…

Probability · Mathematics 2008-08-26 E. A. Carlen , M. C. Carvalho , J. Le Roux , M. Loss , C. Villani

We present numerical evidence to show that the wavefunctions of smooth classically chaotic Hamiltonian systems scarred by certain simple periodic orbits are exponentially localized in the space of unperturbed basis states. The degree of…

chao-dyn · Physics 2009-10-30 M. S. Santhanam , V. B. Sheorey , A. Lakshminarayan

We present the Schmidt decomposition for arbitrary wavefunctions of two indistinguishable bosons, extending the recent studies of entanglement or quantum correlations for two fermion systems [J. Schliemann et al., Phys. Rev. B {\bf 63},…

Quantum Physics · Physics 2016-09-08 R. Paskauskas , L. You

The eigenstate entanglement entropy has been recently shown to be a powerful tool to distinguish integrable from generic quantum-chaotic models. In integrable models, a unique feature of the average eigenstate entanglement entropy (over all…

Statistical Mechanics · Physics 2020-11-05 Patrycja Łydżba , Marcos Rigol , Lev Vidmar

The conventional conception of decoherence relies on the interaction with an external set of degrees of freedom - the 'bath' - to which the system loses quantum information. But the role of the bath can be played too by any internal degrees…

Quantum Gases · Physics 2019-09-20 L. Rico-Pérez

We study an information-based mechanism of self-propulsion in noisy environment. An information swimmer maintains directional motion by periodically measuring its velocity and accordingly adjusting its friction coefficient. Assuming that…

Statistical Mechanics · Physics 2020-11-18 Chen Huang , Mingnan Ding , Xiangjun Xing

Entanglement preparation and signal accumulation are essential for quantum parameter estimation, which pose significant challenges to both theories and experiments. Here, we propose how to utilize chaotic dynamics in a periodically driven…

Quantum Physics · Physics 2021-02-17 Wenjie Liu , Min Zhuang , Bo Zhu , Jiahao Huang , Chaohong Lee

The present status of the mapped interacting boson model studies on nuclear structure is reviewed. With the assumption that the nuclear surface deformation induced by the multi-nucleon dynamics is simulated by bosonic degrees of freedom,…

Nuclear Theory · Physics 2025-06-19 Kosuke Nomura

As a function of the disorder strength in a mesoscopic system, the electron dynamics crosses over from the ballistic through the diffusive towards the localized regime. The ballistic and the localized situation correspond to integrable or…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dietmar Weinmann , Sigmund Kohler , Gert-Ludwig Ingold , Peter Hänggi

The effects of bath coupling on an interacting two-particle quantum system are studied using tools from information theory. Shannon entropies of the one (reduced) and two-particle distribution functions in position, momentum and separable…

Quantum Physics · Physics 2018-10-22 Humberto G. Laguna , Robin P. Sagar , David D. Tempel , Alan Aspuru-Guzik

Interspersing unitary dynamics with local measurements results in measurement-induced phases and transitions in many-body quantum systems. When the evolution is driven by a local Hamiltonian, two types of transitions have been observed,…

Quantum Physics · Physics 2024-02-23 Bo Xing , Xhek Turkeshi , Marco Schiró , Rosario Fazio , Dario Poletti

The dynamics of bosons in generic multimode systems, such as Bose-Hubbard models, is not only determined by interactions among the particles, but also by their mutual indistinguishability manifested in many-particle interference. We…

Quantum Physics · Physics 2018-05-25 Tobias Brünner , Gabriel Dufour , Alberto Rodríguez , Andreas Buchleitner