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We analyze in detail the heating of bosonic atoms in an optical lattice due to incoherent scattering of light from the lasers forming the lattice. Because atoms scattered into higher bands do not thermalize on the timescale of typical…

Quantum Gases · Physics 2011-02-21 H. Pichler , A. J. Daley , P. Zoller

The low-temperature properties of glasses present important differences with respect to crystalline matter. In particular, models such as the Debye model of solids, which assume the existence of an underlying regular lattice, predict that…

Disordered Systems and Neural Networks · Physics 2023-01-03 Matteo Baggioli , Rico Milkus , Alessio Zaccone

The specific heat anomaly (SHA) is broadly observed in statistical mechanics, appearing as a smooth, system-size-independent peak in the specific heat, in contrast to the singular behavior typical of second-order phase transitions (PTs).…

Statistical Mechanics · Physics 2025-04-30 Loris Di Cairano , Alexandre Tkatchenko

We investigate the thermodynamics of model systems exhibiting two-scale fractal spectra. In particular, we present both analytical and numerical studies on the temperature dependence of the vibrational and electronic specific heats. For…

Statistical Mechanics · Physics 2009-10-31 R. O. Vallejos , C. Anteneodo

The Boson peak is a universal phenomenon in amorphous solids. It can be observed as an anomalous contribution to the low-temperature heat capacity over the Debye model. Amorphous phase-change materials (PCMs) such as Ge-Sb-Te are a family…

Materials Science · Physics 2024-04-29 Jens Moesgaard , Tomoki Fujita , Shuai Wei

We investigate the finite-temperature properties of a bosonic Josephson junction composed of N interacting atoms confined by a quasi-one-dimensional asymmetric double-well potential, modeled by the two-site Bose-Hubbard Hamiltonian. We…

Quantum Gases · Physics 2026-01-21 Cesare Vianello , Matteo Ferraretto , Luca Salasnich

In this paper, we study a strongly correlated quantum system that has become amenable to experiment by the advent of ultracold bosonic atoms in optical lattices, a chain of two different bosonic constituents. Excitations in this system are…

Statistical Mechanics · Physics 2009-11-13 Adrian Kleine , Corinna Kollath , Ian P. McCulloch , Thierry Giamarchi , Ulrich Schollwoeck

A general coupled representation is proposed for bosonic atoms in double well optical lattices. Based on such a representation, we investigate the excitation spectra and thermodynamics of bosonic atoms in the optical lattices. We find…

Strongly Correlated Electrons · Physics 2015-06-19 Bao Xu , Hong-Ye Wu , Yi-Cai Zhang , Han-Ting Wang , Wu-Ming Liu

The boson peak is a characteristic anomaly of amorphous solids broadly defined as a low-energy excess in the density of states and heat capacity compared to the textbook predictions of Debye theory. The origin of this anomaly has long been…

We study the specific heat of a model supercooled liquid confined in a spherical cavity with amorphous boundary conditions. We find the equilibrium specific heat has a cavity-size-dependent peak as a function of temperature. The cavity…

Disordered Systems and Neural Networks · Physics 2015-08-18 Daniel A. Martin , Andrea Cavagna , Tomas S. Grigera

We present new simulation results for the specific heat in a classical model of a binary mixture glass-former in two dimensions. We show that in addition to the formerly observed specific heat peak there is a second peak at lower…

Materials Science · Physics 2009-11-13 H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia

We study the filling of states in a pure hopping boson model on the comb lattice, a low dimensional discrete structure where geometrical inhomogeneity induces Bose-Einstein condensation (BEC) at finite temperature. By a careful analysis of…

Condensed Matter · Physics 2009-11-07 P. Buonsante , R. Burioni , D. Cassi , A. Vezzani

Disorder effects in the thermodynamic properties of a ideal Bose gas confined in a semi-infinite multi-layer structure %described by $M$ permeable barriers within a box of thickness $L$ and infinite lateral extent, are analyzed. The layers…

Quantum Gases · Physics 2016-07-20 V. E. Barragán , M. Fortes , M. A. Solís , P. Salas

We study thermodynamic consequences of the hidden Bose-Einstein singularities, which have been predicted to cause a pseudogap phase, based on quantum field theory of ordered phases. Starting from the Luttinger-Ward functional for the grand…

Strongly Correlated Electrons · Physics 2025-09-08 Takafumi Kita

A model of two-species bosons moving on the sites of a lattice is studied at nonzero temperature, focusing on magnetic order and superfluid-insulator transitions. Firstly, Landau theory is used to find the general structure of the phase…

Statistical Mechanics · Physics 2009-05-10 Stephen Powell

We numerically study a Bose-Hubbard ring of finite size with disorder containing a finite number of bosons that are subject to an on-site two-body interaction. Our results show that moderate interactions induce dynamical thermalization in…

Quantum Gases · Physics 2016-01-27 Peter Schlagheck , Dima L. Shepelyansky

Specific heats of quantum systems with symmetric and asymmetric double-well potentials have been calculated. In numerical calculations of their specific heats, we have adopted the combined method which takes into account not only…

Statistical Mechanics · Physics 2015-06-05 Hideo Hasegawa

As an exclusive feature of a non-Hermitian system, the existence of exceptional points (EPs) depends not only on the details of the Hamiltonian but also on the particle-number filling and the particle statistics. In this paper, we study…

Strongly Correlated Electrons · Physics 2025-09-24 J. Y. Liu-Sun , Z. Song

We study the anomalously large specific heat jump and its systematic change with pressure in CeCoIn$_5$ superconductor. Starting with the general free energy functional of the superconductor for a coupled electron boson system, we derived…

Strongly Correlated Electrons · Physics 2009-11-10 Yunkyu Bang , A. V. Balatsky

We present a quantitative finite temperature analysis of a recent experiment with Bose-Fermi mixtures in optical lattices, in which the dependence of the coherence of bosons on the inter-species interaction was analyzed. Our theory…

Quantum Gases · Physics 2013-05-29 M. Cramer