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We calculate the `exact' potential corresponding to a one-dimensional interacting system of two electrons with a specific, tailored density. We use one-dimensional density-functional theory with a local-density approximation (LDA) on the…

Other Condensed Matter · Physics 2015-05-13 J. P. Coe , I. D'Amico

We numerically study the expansion dynamics of ultracold atoms in a one-dimensional disordered potential in the presence of a weak position measurement of the atoms. We specifically consider this position measurement to be realized by a…

Quantum Gases · Physics 2015-06-05 Boris Nowak , Jami J. Kinnunen , Murray J. Holland , Peter Schlagheck

For classical many-body systems, our recent study reveals that expectation value of internal energy, structure, and free energy can be well characterized by a single specially-selected microscopic structure. This finding relies on the fact…

Disordered Systems and Neural Networks · Physics 2017-06-28 Koretaka Yuge , Tetsuya Taikei , Kazuhito Takeuchi

Studies of ultracold atoms in optical lattices link various disciplines, providing a playground where fundamental quantum many-body concepts, formulated in condensed-matter physics, can be tested in much better controllable atomic systems,…

Quantum Physics · Physics 2007-11-22 Igor. B. Mekhov , Christoph Maschler , Helmut Ritsch

We investigate a modified Anderson model to study the local density of states (LDOS) of a molecular wire adsorbed on a metal. Using a self-consistent mean-field type approach we find an exponential decay of the LDOS along the molecule. A…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mahn-Soo Choi , C. Bruder

Determining the energy levels of a quantum system is a significant task, for instance, to analyze reaction rates in drug discovery and catalysis or characterize the compatibility of materials. In this paper we exploit quantum metrology, the…

Recent years have seen tremendous progress in creating complex atomic many-body quantum systems. One approach is to use macroscopic, effectively thermodynamic ensembles of ultracold atoms to create quantum gases and strongly correlated…

Quantum Gases · Physics 2015-05-13 Waseem S. Bakr , Jonathon I. Gillen , Amy Peng , Simon Foelling , Markus Greiner

During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different…

Quantum Gases · Physics 2015-12-29 K. V. Krutitsky

We derive a general relation in two-body scattering theory that more directly relates the change of density of states (DDOS) due to interaction to the shape of the potential. The relation allows us to infer certain global properties of the…

Atomic Physics · Physics 2017-04-19 Bo Gao

A recent study have shown that it is possible to have enhancement, in contrast to an expected suppression, in tunneling density of states (TDOS) in a Luttinger liquid (LL) which is solely driven by the non-local density-density…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Amulya Ratnakar , Sourin Das

We study the tunneling density of states (TDOS) of a disordered electronic system with Coulomb interaction on the insulating side of the Anderson localization transition. The average TDOS shows a critical behavior at high energies, with a…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We study bosonic atoms in small optical lattices by exact diagonalization and observe a striking similarity to the superfluid to Mott insulator transition in macroscopic systems. The momentum distribution, the formation of an energy gap,…

Other Condensed Matter · Physics 2008-04-14 Dirk-Sören Lühmann , Kai Bongs , Klaus Sengstock , Daniela Pfannkuche

A new technique permits high fidelity measurement of the tunneling density of states (TDOS) of the two-dimensional electron gas. The obtained TDOS contains no distortions arising from low 2D in-plane conductivity and includes the…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 H. B. Chan , P. I. Glicofridis , R. C. Ashoori , M. L. Melloch

The local density of states (LDOS) in a one-dimensional helical channel of finite length is studied within a Tomonaga-Luttinger model at zero temperature. Two particular cases of loop and Josephson junction geometries are considered. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Yositake Takane

We consider a one-dimensional classical many-body system with interaction potential of Lennard-Jones type in the thermodynamic limit at low temperature $1/\beta\in(0,\infty)$. The ground state is a periodic lattice. We show that when the…

Mathematical Physics · Physics 2021-11-24 Sabine Jansen , Wolfgang König , Bernd Schmidt , Florian Theil

Ultra-cold atoms in optical lattices provide one of the most promising platforms for analog quantum simulations of complex quantum many-body systems. Large-size systems can now routinely be reached and are already used to probe a large…

Quantum Gases · Physics 2016-11-30 J. Gertis , M. Friesdorf , C. A. Riofrio , J. Eisert

Accurate three dimensional reconstructions of atomic positions, and full quantification of the information contained in atom probe tomography data relies on understanding the physical processes taking place during field evaporation of atoms…

Atomic Physics · Physics 2016-01-20 Lan Yao , Travis Withrow , Oscar D. Restrepo , Wolfgang Windl , Emmanuelle A. Marquis

Microscopic studies of nuclear matter under diverse conditions of density and asymmetry are of great contemporary interest. Concerning terrestrial applications, they relate to future experimental facilities that will make it possible to…

Nuclear Theory · Physics 2017-08-23 F. Sammarruca

We model the thermodynamics of local structures within the hard sphere liquid at arbitrary volume fractions through the \textit{morphometric} calculation of $n$-body correlations. We calculate absolute free energies of local geometric…

Statistical Mechanics · Physics 2019-02-20 Joshua F. Robinson , Francesco Turci , Roland Roth , C. Patrick Royall

In this work, the calculation of complexity on atomic systems is considered. In order to unveil the increasing of this statistical magnitude with the atomic number due to the relativistic effects, recently reported in [A. Borgoo, F. De…

Chaotic Dynamics · Physics 2008-06-12 Jaime Sanudo , Ricardo Lopez-Ruiz
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