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We show that the possibility to address and image single sites of an optical lattice, now an experimental reality, allows to measure the frequency-resolved local particle and hole spectra of a wide variety of one- and two-dimensional…

Quantum Gases · Physics 2015-10-21 Adrian Kantian , Ulrich Schollwöck , Thierry Giamarchi

The anisotropic Kondo necklace model in 2D and 3D is treated as a genuine model for magnetic to Kondo singlet quantum phase transitions in the heavy fermion (HF) compounds. The variation of the quantum critical point (QCP) with anisotropy…

Strongly Correlated Electrons · Physics 2018-02-02 P. Thalmeier , A. Langari

The two-dimensional Holstein model is studied by means of direct Lanczos diagonalization preserving the full dynamics and quantum nature of phonons. We present numerical exact results for the single-particle spectral function, the polaronic…

Condensed Matter · Physics 2009-10-30 H. Fehske , J. Loos , G. Wellein

We study the effect of varying the boundary condition on the spectral function of a finite 1D Hubbard chain, which we compute using direct (Lanczos) diagonalization of the Hamiltonian. By direct comparison with the two-body response…

Strongly Correlated Electrons · Physics 2009-10-31 R. N. Bannister , N. d'Ambrumenil

Searches for gravitational wave echoes in the aftermath of mergers and/or formation of astrophysical black holes have recently opened a novel and surprising window into the quantum nature of their horizons. Similar to astro- and…

General Relativity and Quantum Cosmology · Physics 2020-07-16 Naritaka Oshita , Daichi Tsuna , Niayesh Afshordi

We investigate quantum aspects of the three dimensional (BTZ) black holes. The discussions are devoted to two subjects: the thermodynamics of quantum scalar fields and the string theory in the three dimensional black hole backgrounds. We…

High Energy Physics - Theory · Physics 2008-02-03 Yuji Satoh

By extending our recently proposed magnon-density-waves to low dimensions, we investigate, using a microscopic many-body approach, the longitudinal excitations of the quasi-one-dimensional (quasi-1d) and quasi-2d Heisenberg…

Strongly Correlated Electrons · Physics 2015-05-28 Y Xian

We consider a two dimensional Kondo lattice model with exchange J and hopping t in which three out of four impurity spins are removed in a regular way. At the particle-hole symmetric point the model may be studied with auxiliary field…

Strongly Correlated Electrons · Physics 2013-05-29 F. F. Assaad

Calculations of the heavy-heavy spectrum present a good opportunity for precision tests of QCD using lattice techniques. All methods make use of a non-relativistic expansion of the action and its systematic improvement to remove lattice…

High Energy Physics - Lattice · Physics 2009-10-22 C. T. H. Davies

The two-channel Kondo lattice model is examined with a Quantum Monte Carlo simulation in the limit of infinite dimensions. We find non-fermi-liquid behavior at low temperatures including a finite low-temperature single-particle scattering…

Condensed Matter · Physics 2012-05-31 Mark Jarrell , Hanbin Pang , D. L. Cox , K. H. Luk

This paper revisits the error analysis of the Stochastic Lanczos Quadrature (SLQ) method for approximating the trace of matrix functions, with a specific focus on asymmetric Lanczos quadrature rules. We reexplain an existing theoretical…

Numerical Analysis · Mathematics 2026-05-14 Wenhao Li , Yixuan Huang , Shengxin Zhu

For some years Lanczos moments methods have been combined with large-scale shell-model calculations in evaluations of the spectral distributions of certain operators. This technique is of great value because the alternative, a…

Nuclear Theory · Physics 2009-11-11 Wick C. Haxton , Kenneth M. Nollett , Kathryn M. Zurek

The number state method is used to study soliton bands for three anharmonic quantum lattices: i) The discrete nonlinear Schr\"{o}dinger equation, ii) The Ablowitz-Ladik system, and iii) A fermionic polaron model. Each of these systems is…

High Energy Physics - Theory · Physics 2009-10-28 A. C. Scott , J. C. Eilbeck , H. Gilhøj

We present a lattice QCD investigation of the $\rho$ resonance using nine $N_f = 2 + 1$ Wilson-Clover ensembles with three lattice spacings and various pion masses ranging from $135$ to $320$ MeV. For each ensemble, a large number of finite…

High Energy Physics - Lattice · Physics 2025-02-07 Zhengli Wang , Derek B. Leinweber , Chuan Liu , Liuming Liu , Peng Sun , Anthony W. Thomas , Jia-jun Wu , Hanyang Xing , Kang Yu

Spectral weight functions are easily obtained from two-point correlation functions and they might be used to distinguish single-particle from multi-particle states in a finite-volume lattice calculation, a problem crucial for many lattice…

High Energy Physics - Lattice · Physics 2014-11-21 Zhi-Yuan Niu , De-Chuan Du , Bao-Zhong Guo , Ning Li , Chuan Liu , Hang Liu

Based on a symmetry analysis of the microscopic Hubbard and t-J models, a systematic low-energy effective field theory is constructed for hole-doped antiferromagnets on the honeycomb lattice. In the antiferromagnetic phase, doped holes are…

Strongly Correlated Electrons · Physics 2013-05-30 F. Kämpfer , B. Bessire , M. Wirz , C. P. Hofmann , F. -J. Jiang , U. -J. Wiese

The spectral properties of the spinless fermion model with nearest-neighbor repulsive interactions on a one-dimensional lattice are investigated using the Bethe ansatz. Although its bulk quantities are exactly the same as those of the…

Strongly Correlated Electrons · Physics 2015-03-13 Masanori Kohno , Mitsuhiro Arikawa , Jun Sato , Kazumitsu Sakai

We consider the strongly anisotropic spin-1/2 $XXZ$ model on the sawtooth-chain lattice with ferromagnetic longitudinal interaction $J^{zz}=\Delta J$ and aniferromagnetic transversal interaction $J^{xx}=J^{yy}=J>0$. At $\Delta=-1/2$ the…

Strongly Correlated Electrons · Physics 2020-08-25 Oleg Derzhko , Jürgen Schnack , D. V. Dmitriev , V. Ya. Krivnov , Johannes Richter

Lattice quantum chromodynamics calculations of multi-baryon systems with physical quark masses would start a new age of ab initio predictions in nuclear physics. Performed on a finite grid, such calculations demand extrapolation of their…

Nuclear Theory · Physics 2022-08-17 Roee Yaron , Betzalel Bazak , Martin Schäfer , Nir Barnea

We study numerically the formation of magnetization plateaux with the Lanczos method in 2-leg ladders with mixed spins of magnitudes $(S_1,S_2)=(1,1/2)$ located at alternating positions along the ladder and with dimerization $\gamma$. For…

Strongly Correlated Electrons · Physics 2009-10-31 A. Langari , M. A. Martin-Delgado
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