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We have characterized the one-dimensional (1D) to three-dimensional (3D) crossover of a two-component spin-imbalanced Fermi gas of 6-lithium atoms in a 2D optical lattice by varying the lattice tunneling and the interactions. The gas phase…

Atomic Physics · Physics 2016-12-01 Melissa C. Revelle , Jacob A. Fry , Ben A. Olsen , Randall G. Hulet

We have studied the transition from two to three dimensions in a low temperature weakly interacting $^6$Li Fermi gas. Below a critical atom number, $N_{2D}$, only the lowest transverse vibrational state of a highly anisotropic oblate…

Quantum Gases · Physics 2011-03-16 P. Dyke , E. D. Kuhnle , S. Whitlock , H. Hu , M. Mark , S. Hoinka , M. Lingham , P. Hannaford , C. J. Vale

We investigate the superfluid-insulator transition of one-dimensional interacting Bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on Monte-Carlo simulations in continuum space and Luttinger…

There are some particular one-dimensional models, such as the Ising-Heisenberg spin models with a variety of chain structures, which exhibit unexpected behaviors quite similar to the first and second order phase transition, which could be…

Statistical Mechanics · Physics 2017-12-06 S. M. de Souza , Onofre Rojas

We study quantum phase transitions by measuring the bond energy, the number density, and the half-chain entanglement entropy in the one-dimensional ionic Hubbard model. By performing the infinite density matrix renormalization group with…

Strongly Correlated Electrons · Physics 2021-02-24 Myung-Hoon Chung

We investigate the formation of quantum droplets at finite temperature in attractive Bose mixtures subject to a strong transverse harmonic confinement. By means of exact path-integral Monte Carlo methods we determine the equilibrium density…

Quantum Gases · Physics 2024-08-20 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

Achieving a higher superfluid transition $T_c$ has been a goal for the fields of superconductivity and atomic Fermi gases. Here we propose that, by using mixed dimensionality, one may achieve ultra high temperature superfluids in two…

Quantum Gases · Physics 2021-05-04 Leifeng Zhang , Jibiao Wang , Yi Yu , Qijin Chen

The phase transitions of random-field q-state Potts models in d=3 dimensions are studied by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently, approximate Migdal-Kadanoff solutions of a cubic…

Statistical Mechanics · Physics 2021-09-15 Alpar Turkoglu , A. Nihat Berker

Recently, condensed matter and atomic experiments have reached a length-scale and temperature regime where new quantum collective phenomena emerge. Finding such physics in systems of photons, however, is problematic, as photons typically do…

Other Condensed Matter · Physics 2007-08-01 Andrew D. Greentree , Charles Tahan , Jared H. Cole , L. C. L. Hollenberg

We consider ultracold polar molecules trapped in a unit-filled one-dimensional chain in real space created with an optical lattice or a tweezer array and illuminated by microwaves that resonantly drive transitions within a chain of…

Quantum Gases · Physics 2019-01-28 Bhuvanesh Sundar , Matthew Thibodeau , Zhiyuan Wang , Bryce Gadway , Kaden Hazzard

Superconductor-insulator transition is one of the remarkable phenomena driven by quantum fluctuation in two-dimensional (2D) systems. Such a quantum phase transition (QPT) was investigated predominantly on highly disordered thin films with…

Superconductivity · Physics 2018-04-20 Yu Saito , Tsutomu Nojima , Yoshihiro Iwasa

We use the finite-size density-matrix-renormalization-group (FSDMRG) method to obtain the phase diagram of the one-dimensional ($d = 1$) extended Bose-Hubbard model for density $\rho = 1$ in the $U-V$ plane, where $U$ and $V$ are,…

Superconductivity · Physics 2009-11-10 Ramesh V. Pai , Rahul Pandit

Dipolar quantum gases, encompassing atoms and molecules with significant dipole moments, exhibit unique long-range and anisotropic dipole-dipole interactions (DDI), distinguishing them from systems dominated by short-range contact…

Quantum Gases · Physics 2025-12-17 Yifei He , Haoting Zhen , Gyu-Boong Jo

The matrix product state (MPS) is utilized to study the ground state properties and quantum phase transitions (QPTs) of the one-dimensional quantum compass model (QCM). The MPS wavefunctions are argued to be very efficient descriptions of…

Strongly Correlated Electrons · Physics 2012-06-05 Guang-Hua Liu , Wei Li , Wen-Long You , Guang-Shan Tian , Gang Su

We study ultra-cold bosons out of equilibrium in a one-dimensional (1D) setting and probe the breaking of integrability and the resulting relaxation at the onset of the crossover from one to three dimensions. In a quantum Newton's cradle…

Employing Monte-Carlo simulation techniques we investigate the statistical properties of equally charged particles confined in a one-dimensional box trap and detect a crossover from a crystalline to a cluster phase with increasing…

Statistical Mechanics · Physics 2013-04-23 A. V. Zampetaki , F. K. Diakonos , P. Schmelcher

Quantum phase slips, i.e the primary excitations in one-dimensional superfluids at low temperature, have been well characterized in most condensed-matter systems, with the notable exception of ultracold quantum gases. Here we present our…

Ultracold dipolar atoms and molecules provide a flexible quantum simulation platform for studying strongly interacting many-body systems. Determining microscopic Hamiltonian parameters of the simulator is crucial for it to be useful. We…

The presence of stable topological defects in a two-dimensional (\textit{d} = 2) liquid crystal model allowing molecular reorientations in three dimensions (\textit{n} = 3) was largely believed to induce defect-mediated…

Soft Condensed Matter · Physics 2018-11-28 B. Kamala Latha , V. S. S. Sastry

Heat-capacity measurements are a useful tool for understanding the complex phase behaviour of systems containing one-dimensional motifs. Here we study the signature within such measurements of the incorporation of defects into…

Statistical Mechanics · Physics 2022-12-14 Johnathan M. Bulled , Mario Falsaperna , Paul J. Saines , Andrew L. Goodwin