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The application of pressure can induce transitions between unconventional quantum phases in correlated materials. The inorganic compound TiOCl, composed of chains of S=1/2 Ti ions, is an ideal realization of a spin-Peierls system with a…

Strongly Correlated Electrons · Physics 2018-02-21 Costel R. Rotundu , Jiajia Wen , Wei He , Yongseong Choi , Daniel Haskel , Young S. Lee

We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal…

Quantum Physics · Physics 2014-06-24 Bryce Yoshimura , Marybeth Stork , Danilo Dadic , W. C. Campbell , J. K. Freericks

We study the dynamical behavior of disordered many-particle systems with long-range Coulomb interactions by means of damage-spreading simulations. In this type of Monte-Carlo simulations one investigates the time evolution of the damage,…

Statistical Mechanics · Physics 2009-10-28 Torsten Wappler , Michael Schreiber , Thomas Vojta

Ion Coulomb crystals (ICC), formed by atomic ions at low temperatures in radiofrequency and Penning ion traps, are structures that have remarkable properties and many applications. Images of Coulomb crystals are striking and reveal the…

Quantum Physics · Physics 2022-08-11 Richard C. Thompson

We investigate crystal nucleation in supersaturated colloid suspensions using enhanced molecular dynamics simulations augmented with machine learning techniques. The simulations reveal that crystallization in the model colloidal system…

Soft Condensed Matter · Physics 2024-04-30 Vanessa J. Meraz , Ziyue Zou , Pratyush Tiwary

The "melting" of self-formed rigid structures made of a small number of interacting classical particles confined in an irregular two-dimensional space is investigated using Monte Carlo simulations. It is shown that the interplay of…

Disordered Systems and Neural Networks · Physics 2013-06-13 Dyuti Bhattacharya , Amit Ghosal

Our work analyzes the potential of ion traps for the experimental simulation of non-equilibrium phase transitions observed in certain spin-chain models which can be mapped to free-fermion systems. In order to make the dynamics more…

Quantum Physics · Physics 2019-12-13 Alba Ramos , Cecilia Cormick

The classical simulation of highly-entangling quantum dynamics is conjectured to be generically hard. Thus, recently discovered measurement-induced transitions between highly entangling and low-entanglement dynamics are phase transitions in…

Quantum Physics · Physics 2024-08-16 Mircea Bejan , Campbell McLauchlan , Benjamin Béri

We study nanofriction in an ion Coulomb crystal under the presence of topological defects. We observe signatures of the pinning to sliding transition, namely the transverse vibrational soft mode signaling the transition and the symmetry…

We report a laboratory measurement of how impurities shift Coulomb crystallization in a strongly interacting ionic system. This is achieved by using laser cooled Ca$^+$ crystals doped with a controlled number of Xe$^{12+}$ highly charged…

Other Condensed Matter · Physics 2026-03-17 Mingyao Xu , Aaron A. Smith , Leonid Prokhorov , Vera Guarrera , Giovanni Barontini

Ice states, in which frustrated interactions lead to a macroscopic ground-state degeneracy, occur in water ice, in problems of frustrated charge order on the pyrochlore lattice, and in the family of rare-earth magnets collectively known as…

Strongly Correlated Electrons · Physics 2015-03-19 Nic Shannon , Olga Sikora , Frank Pollmann , Karlo Penc , Peter Fulde

The spatio-temporally periodic (STP) potential is interesting in Physics due to the intimate coupling between its time and spatial components. In this paper we begin with a brief discussion of the dynamical behaviors of a single particle in…

Chaotic Dynamics · Physics 2014-09-04 Owen D. Myers , Junru Wu , Jeffrey S. Marshall , Christopher M. Danforth

The Coulombic quantum spin liquid in quantum spin ice is an exotic quantum phase of matter that emerges on the pyrochlore lattice and is currently actively searched for. Motivated by recent experiments on the Yb-based breathing pyrochlore…

Strongly Correlated Electrons · Physics 2016-08-23 Lucile Savary , Xiaoqun Wang , Hae-Young Kee , Yong Baek Kim , Yue Yu , Gang Chen

We present a detailed analysis of the modulated-carrier quantum phase gate implemented with Wigner crystals of ions confined in Penning traps. We elaborate on a recent scheme, proposed by two of the authors, to engineer two-body…

Quantum Physics · Physics 2011-04-19 J. D. Baltrusch , A. Negretti , J. M. Taylor , T. Calarco

A quasi one--dimensional system of trapped, repulsively interacting atoms (e.g., an ion chain) exhibits a structural phase transition from a linear chain to a zigzag structure, tuned by reducing the transverse trap potential or increasing…

Statistical Mechanics · Physics 2011-04-11 Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

We demonstrate for the first time a linear-zigzag phase transition induced solely by temperature of the $^{40}$Ca$^{+}$ ion crystals in a surface-electrode trap. In contrast to the previously observed counterparts based on change of the…

Quantum Physics · Physics 2019-10-08 J. Li , L. L. Yan , L. Chen , Z. C. Liu , F. Zhou , J. Q. Zhang , W. L. Yang , M. Feng

A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. The theory is based on the representation of the model Gibbs…

Mathematical Physics · Physics 2009-11-13 Alina Kargol , Yuri Kondratiev , Yuri Kozitsky

We show that the ground-state quantum correlations of an Ising model can be detected by monitoring the time evolution of a single spin alone, and that the critical point of a quantum phase transition is detected through a maximum of a…

The chromium spinels MgCr2O4 and ZnCr2O4 are prime examples of the highly frustrated pyrochlore lattice antiferromagnet. Experiment has carefully established that both materials, upon cooling, distort to lower symmetry and order…

Strongly Correlated Electrons · Physics 2025-02-28 Ludovic D. C. Jaubert , Yasir Iqbal , Harald O. Jeschke

We model a spin-phase transition in a two-dimensional square array, or a lateral superlattice, of quantum rings in an external perpendicular homogeneous magnetic field. The electron system is placed in a circular cylindrical far-infrared…

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