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The Tomonaga-Luttinger liquid (TLL) theory describes the low-energy excitations of strongly correlated one-dimensional (1D) fermions. In the past years, a number of studies have provided a detailed understanding of this universality class.…

量子气体 · 物理学 2023-06-05 Danyel Cavazos-Cavazos , Ruwan Senaratne , Aashish Kafle , Randall G. Hulet

The concept of a Tomonaga-Luttinger liquid (TLL) has been established as a fundamental theory for the understanding of one-dimensional quantum systems. Originally formulated as a replacement for Landau's Fermi-liquid theory, which…

Quantum fluctuations can disrupt long-range order in one-dimensional systems, and replace it with the universal paradigm of the Tomonaga-Luttinger liquid (TLL), a critical phase of matter characterized by power-law decaying correlations and…

We study the entanglement spectrum (ES) and entropy between two coupled Tomonaga-Luttinger liquids (TLLs) on parallel periodic chains. This problem gives access to the entanglement properties of various interesting systems, such as spin…

强关联电子 · 物理学 2014-01-10 Rex Lundgren , Yohei Fuji , Shunsuke Furukawa , Masaki Oshikawa

Tomonaga-Luttinger liquid (TLL) theory is a canonical formalism used to describe one-dimensional (1D) metals, where the low energy physics is determined by collective bosonic excitations. In this work, we present a theoretical model to…

材料科学 · 物理学 2024-12-13 Naira Grigoryan , Piotr Chudzinski

Phase correlations, density fluctuations and three-body loss rates are relevant for many experiments in quasi one-dimensional geometries. Extended mean-field theory is used to evaluate correlation functions up to third order for a quasi…

介观与纳米尺度物理 · 物理学 2009-11-13 M. Eckart , R. Walser , W. P. Schleich

We study the low-energy collective oscillations of a dilute Bose gas at finite temperature in the collisionless regime. By using a time-dependent mean-field scheme we derive for the dynamics of the condensate and noncondensate components a…

凝聚态物理 · 物理学 2009-10-31 S. Giorgini

We demonstrate the universal properties of dissipative Tomonaga-Luttinger (TL) liquids by calculating correlation functions and performing finite-size scaling analysis of a non-Hermitian XXZ spin chain as a prototypical model in…

量子气体 · 物理学 2022-05-25 Kazuki Yamamoto , Masaya Nakagawa , Masaki Tezuka , Masahito Ueda , Norio Kawakami

Tomonaga-Luttinger liquids (TLLs) can be used to effectively describe one-dimensional quantum many-body systems such as ultracold atoms, charges in nanowires, superconducting circuits, and gapless spin chains. Their properties are given by…

统计力学 · 物理学 2022-01-21 Marek Gluza , Per Moosavi , Spyros Sotiriadis

The model of interacting fermion systems in one dimension known as Tomonaga-Luttinger liquid (TLL) provides a simple and exactly solvable theoretical framework, predicting various intriguing physical properties. Evidence of TLL has been…

介观与纳米尺度物理 · 物理学 2015-06-17 Hiroshi Kamata , Norio Kumada , Masayuki Hashisaka , Koji Muraki , Toshimasa Fujisawa

We study the crossover between the mean-field and critical behavior of the two-dimensional Bose gas throughout the fluctuation region of the Berezinskii--Kosterlitz--Thouless phase transition point. We argue that this crossover is described…

凝聚态物理 · 物理学 2009-11-07 Nikolay Prokof'ev , Boris Svistunov

We consider the effect of the curvature in fermionic dispersion on the observable properties of Luttinger liquid (LL). We use the bosonization technique where the curvature is irrelevant perturbation, describing the decay of LL bosons…

强关联电子 · 物理学 2011-11-09 D. N. Aristov

Molybdenum purple bronze Li$_{0.9}$Mo$_{6}$O$_{17}$ is an exceptional material known to exhibit one dimensional (1D) properties for energies down to a few meV. This fact seems to be well established both in experiments and in band structure…

强关联电子 · 物理学 2016-06-15 P. Chudzinski , T. Jarlborg , T. Giamarchi

We study the correlation functions of quantum spin $1/2$ ladders at finite temperature, under a magnetic field, in the gapless phase at various relevant temperatures $T\neq 0$, momentum $q$ and frequencies $\omega$. We compute those…

强关联电子 · 物理学 2019-05-15 N. Kestin , T. Giamarchi

The fluctuations of the current for the one-dimensional totally asymmetric exclusion process with $L$ sites are studied in the relaxation regime of times $T\sim L^{3/2}$. Using Bethe ansatz for the periodic system with an evolution…

统计力学 · 物理学 2015-01-22 Sylvain Prolhac

We discuss effects of $1/r^\beta$ type long-range (LR) interactions in a tight-binding model by utilizing the bosonization technique, renormalization group and conformal field theory (CFT). We obtain the low energy action known for Kibble's…

强关联电子 · 物理学 2007-05-23 Hitoshi Inoue

We present an improved many-body T-matrix theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. The resulting mean-field theory is valid in arbitrary dimensions and able to describe the…

凝聚态物理 · 物理学 2014-10-13 U. Al Khawaja , J. O. Andersen , N. P. Proukakis , H. T. C Stoof

We investigate the thermodynamics of the one-dimensional t-J model using transfer matrix renormalization group (TMRG) algorithms and present results for quantities like particle number, specific heat, spin susceptibility and…

强关联电子 · 物理学 2007-05-23 J. Sirker , A. Klümper

Using the functional renormalization group (FRG) we study the thermal fluctuations of elastic objects, described by a displacement field u and internal dimension d, pinned by a random potential at low temperature T, as prototypes for…

无序系统与神经网络 · 物理学 2009-11-10 Leon Balents , Pierre Le Doussal

We obtain concentration estimates for the fluctuations of Coulomb gases in any dimension and in a broad temperature regime, including very small and very large temperature regimes which may depend on the number of points. We obtain a full…

数学物理 · 物理学 2022-12-29 Sylvia Serfaty
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