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A simple model of a trapped ion cloud cooled by collisions in a buffer gas in a Paul trap is presented. It is based on the customary decomposition of the ion motion in micro- and macro- (or secular) motions and a statistical treatment of…

Plasma Physics · Physics 2020-04-07 Pierre Delahaye

We present a non mean-field model which undergoes a magnetostriction phase transition in the temperature. That is, the crystal becomes sharply contracted and magnetized once the temperature passes below the critical value

Mathematical Physics · Physics 2009-11-10 Senya Shlosman , Valentin Zagrebnov

We study the dynamics of Rydberg ions trapped in a linear Paul trap, and discuss the properties of ionic Rydberg states in the presence of the static and time-dependent electric fields constituting the trap. The interactions in a system of…

Quantum Physics · Physics 2009-11-13 M. Mueller , L. -M. Liang , I. Lesanovsky , P. Zoller

The lifetime of trapped ion ensembles corresponds to a crucial parameter determining the potential scalability of their prospective applications and is often limited by the achievable vacuum level in the apparatus. We report on the…

Atomic Physics · Physics 2019-12-03 P. Obšil , A. Lešundák , T. Pham , K. Lakhmanskiy , L. Podhora , M. Oral , O. Číp , L. Slodička

The dynamical structure factor of a Coulomb crystal of ions is calculated at arbitrary temperature below the melting point taking into account multi-phonon processes in the harmonic approximation. In a strongly coupled Coulomb ion liquid,…

Plasma Physics · Physics 2007-05-23 D. A. Baiko , A. D. Kaminker , A. Y. Potekhin , D. G. Yakovlev

We experimentally demonstrate a method to determine the temperature of trapped ions which is suitable for monitoring fast thermalization processes. We show that observing and analyzing the lineshape of dark resonances in the fluorescence…

In this paper we consider two problems in diagnostics of trapped ion crystals in which an analysis of the ions' collective oscillatory motion yield potentially useful results. When one of the ions in a linear crystal undergoes a collision,…

Quantum Physics · Physics 2022-12-07 Itzal D. U. Terrazas , Daniel F. V. James

We use a simplified model which is based on the same physics as inherent in most statistical models for nuclear multifragmentation. The simplified model allows exact calculations for thermodynamic properties of systems of large number of…

Nuclear Theory · Physics 2008-11-26 S. Das Gupta , A. Z. Mekjian

We propose a novel scheme to implement a quantum controlled phase gate for trapped ions in thermal motion with one standing wave laser pulse. Instead of applying the rotating wave approximation this scheme makes use of the counter-rotating…

Quantum Physics · Physics 2009-11-07 XuBo Zou , K. Pahlke , W. Mathis

Spontaneous symmetry breaking can lead to the formation of time crystals, as well as spatial crystals. Here we propose a space-time crystal of trapped ions and a method to realize it experimentally by confining ions in a ring-shaped…

Quantum Physics · Physics 2013-06-21 Tongcang Li , Zhe-Xuan Gong , Zhang-Qi Yin , H. T. Quan , Xiaobo Yin , Peng Zhang , L. -M. Duan , Xiang Zhang

We investigate the phase diagram of the Haldane-Falicov-Kimball model -- a model combining topology, interactions and spontaneous disorder at finite temperatures. Using an unbiased numerical method, we map out the phase diagram on the…

Strongly Correlated Electrons · Physics 2019-04-03 Miguel Gonçalves , Pedro Ribeiro , Rubem Mondaini , Eduardo V. Castro

A trapped-ion quantum tunneling rotor (QTR) is in a quantum superposition of two different Wigner crystal orientations. In a QTR system, quantum tunneling drives the coherent transition between the two different Wigner crystal orientations.…

Quantum Physics · Physics 2020-02-19 Ryutaro Ohira , Takashi Mukaiyama , Kenji Toyoda

The Wigner crystal, an ordered array of electrons, is one of the very first proposed many-body phases stabilized by the electron-electron interaction. This electron solid phase has been reported in ultra-clean two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Lili Zhao , Wenlu Lin , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren N. Pfeiffer , Yang Liu

Trapped atomic ions are among the most advanced platforms for quantum simulation, computation, and metrology, offering long coherence times and precise, individual control over both internal and motional degrees of freedom. In this review,…

Quantum Physics · Physics 2026-02-18 Guido Pagano , Wojciech Adamczyk , Visal So

In this work we propose a simple example of a one-dimensional thermodynamic system where non-interacting particles are allowed to move over the $[0,1]$ interval, which are influenced by a potential with a fractal structure. We prove that…

Statistical Mechanics · Physics 2019-03-19 Cesar Maldonado , Raul Salgado Garcia

It is well-known that the liquid properties in a strongly confined system can be very different from their ordinary behaviors in an extended system, due to the competition between the thermal energy and the interaction energy. Here we show…

Other Condensed Matter · Physics 2008-09-16 Yi-Ya Tian , Daw-Wei Wang

Close-packed, classical dimer models on three-dimensional, bipartite lattices harbor a Coulomb phase with power-law correlations at infinite temperature. Here, we discuss the nature of the thermal phase transition out of this Coulomb phase…

Statistical Mechanics · Physics 2009-07-17 Gang Chen , Jan Gukelberger , Simon Trebst , Fabien Alet , Leon Balents

We studied a single atom trapped in an optical tweezer interacting with a thermal bath of ultracold atoms of a different species. Because of the collisions between the trapped atom and the bath atoms, the trapped atom undergoes changes in…

Atomic Physics · Physics 2021-03-09 Rahul Sawant , Anna Maffei , Giovanni Barontini

In typical one-dimensional models the Mermin-Wagner theorem forbids long range order, thus preventing finite-temperature phase transitions. We find a finite-temperature phase transition for a homogeneous system of attractive bosons in one…

Statistical Mechanics · Physics 2016-10-31 Christoph Weiss

We consider the phase structure of a pure compact U(1) gauge theory in four dimensions at finite temperature by treating this system as a perturbative deformation of the topological model. Phases of a gauge theory can be investigated from…

High Energy Physics - Theory · Physics 2007-05-23 Kentaroh Yoshida
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