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We have considered one-dimensional Bose-Fermi mixture with equal densities and unequal masses using numerical density matrix renormalization group (DMRG). For the mass ratio of K-Rb mixture and attraction between bosons and fermions, we…

Strongly Correlated Electrons · Physics 2009-08-20 M. Rizzi , A. Imambekov

We present an algorithm for studying quantum systems at finite temperature using continuous matrix product operator representation. The approach handles both short-range and long-range interactions in the thermodynamic limit without…

Strongly Correlated Electrons · Physics 2020-10-27 Wei Tang , Hong-Hao Tu , Lei Wang

We study a two-species partially asymmetric exclusion process where the left boundary is permeable for the `slower' species but the right boundary is not. We find a matrix product solution for the stationary state, and the exact stationary…

Statistical Mechanics · Physics 2018-02-16 Arvind Ayyer , Caley Finn , Dipankar Roy

Using the matrix product ansatz, we obtain solutions of the steady-state distribution of the two-species open one-dimensional zero range process. Our solution is based on a conventionally employed constraint on the hop rates, which…

Statistical Mechanics · Physics 2019-03-26 Zhongtao Mei , Jaeyoon Cho

The ground state and structure of a one-dimensional Bose gas with dipolar repulsions is investigated at zero temperature by a combined Reptation Quantum Monte Carlo (RQMC) and bosonization approach. A non trivial Luttinger-liquid behavior…

Other Condensed Matter · Physics 2007-05-23 R. Citro , E. Orignac , S. De Palo , M. -L. Chiofalo

We investigate the ground-state properties of the quasi-one-dimensional dipolar gases using continuous matrix product states techniques. Making use of the first- and second-order correlation functions, we find that the system supports the…

Quantum Gases · Physics 2024-05-28 Li Peng , Junqiao Pan , Su Yi , Tao Shi

We analyze ground-state properties of strictly one-dimensional molecular matter comprised of identical particles of mass m. Such a class of systems can be described by an additive two-body potential whose functional form is common to all…

Condensed Matter · Physics 2010-07-30 Eugene B. Kolomeisky , Xiaoya Qi , Michael Timmins

We study the ground state of two interacting bosonic particles confined in a ring-shaped lattice potential and subjected to a synthetic magnetic flux. The system is described by the Bose-Hubbard model and solved exactly through a plane-wave…

Quantum Gases · Physics 2020-05-06 Juan Polo , Piero Naldesi , Anna Minguzzi , Luigi Amico

Quantum many body physics simulations with Matrix Product States can often be accelerated if the quantum symmetries present in the system are explicitly taken into account. Conventionally, quantum symmetries have to be determined before…

Quantum Physics · Physics 2019-10-17 Chu Guo , Dario Poletti

Determining ground state energies of quantum systems by hybrid classical/quantum methods has emerged as a promising candidate application for near-term quantum computational resources. Short of large-scale fault-tolerant quantum computers,…

Quantum Physics · Physics 2016-10-25 Nicholas C. Rubin

We solve a very general two-channel fermion-boson model describing charge transport within some background medium by means of a refined pseudo-site density matrix renormalization group (DMRG) technique. Performing a careful finite-size…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ejima , G. Hager , H. Fehske

We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the…

Statistical Mechanics · Physics 2023-05-15 Shouvik Datta , Bastien Lapierre , Per Moosavi , Apoorv Tiwari

Matrix-product states and their continuous analogues are variational classes of states that capture quantum many-body systems or quantum fields with low entanglement; they are at the basis of the density-matrix renormalization group method…

Quantum Physics · Physics 2015-06-05 R. Hübener , A. Mari , J. Eisert

Quantum computing allows for the manipulation of highly correlated states whose properties quickly go beyond the capacity of any classical method to calculate. Thus one natural problem which could lend itself to quantum advantage is the…

Quantum Physics · Physics 2024-12-19 Kevin Lively , Tim Bode , Jochen Szangolies , Jian-Xin Zhu , Benedikt Fauseweh

We study ground-state quantum entanglement in the one-dimensional Bose-Hubbard model in the presence of a harmonic trap. We focus on two transitions that occur upon increasing the characteristic particle density: the formation of a…

Statistical Mechanics · Physics 2019-12-20 Yicheng Zhang , Lev Vidmar , Marcos Rigol

We have obtained the quantum phase diagram of one dimensional extended Bose-Hubbard model using the density-matrix renormalization group and Abelian bosonization methods for different commensurabilities. We describe the nature of different…

Superconductivity · Physics 2008-03-04 Manoranjan Kumar , Sujit Sarkar , S. Ramasesha

Mixing-demixing transitions in one-dimensional mixtures of fermions and bosons are numerically investigated. With Monte Carlo simulations, we searched the transitions by changing various parameters such as number densities of each…

Other Condensed Matter · Physics 2009-11-11 Yousuke Takeuchi , Hiroyuki Mori

Lattice modulation spectroscopy is a powerful tool for probing low-energy excitations of interacting many-body systems. By means of bosonization we analyze the absorbed power in a one dimensional interacting quantum gas of bosons or…

Quantum Gases · Physics 2020-08-19 Roberta Citro , Eugene Demler , Thierry Giamarchi , Michael Knap , Edmond Orignac

Sampling equilibrium ensembles of dense polymer mixtures is a paradigmatically hard problem in computational physics, even in lattice-based models. Here, we develop a formalism based on interacting binary tensors that allows for tackling…

Soft Condensed Matter · Physics 2021-08-25 Cristian Micheletti , Philipp Hauke , Pietro Faccioli

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…