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Quantum dynamics is very sensitive to dimensionality. While two-dimensional electronic systems form Fermi liquids, one-dimensional systems -- Tomonaga-Luttinger liquids -- are described by purely bosonic excitations, even though they are…

Low-dimensional systems are beautiful examples of many-body quantum physics. For one-dimensional systems the Luttinger liquid approach provides insight into universal properties. Much is known of the equilibrium state, both in the weakly…

Other Condensed Matter · Physics 2008-02-14 S. Hofferberth , I. Lesanovsky , B. Fischer , T. Schumm , J. Schmiedmayer

Topological quantum matter is characterized by non-trivial global invariants of the bulk which induce gapless electronic states at its boundaries. A case in point are two-dimensional topological insulators (2D-TI) which host one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 R. Stühler , F. Reis , T. Müller , T. Helbig , T. Schwemmer , R. Thomale , J. Schäfer , R. Claessen

We consider theoretically the possibility of observing unusual quantum fluid behavior in liquid $^{3}$He and solutions of $^{3}$He in $^{4}$He systems confined to nano-channels. In the case of pure ballistic flow at very low temperature…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Lambert , G. Gervais , W. J. Mullin

One-dimensional (1D) interacting electrons are often described as a Luttinger liquid1-4 having properties that are intrinsically different from Fermi liquids in higher dimensions5,6. 1D electrons in materials systems exhibit exotic quantum…

Over the past two decades quantum engineering has made significant advances in our ability to create genuine quantum many-body systems using ultracold atoms. In particular, some prototypical exactly solvable Yang-Baxter systems have been…

Quantum Gases · Physics 2022-10-25 Xi-Wen Guan , Peng He

The one-dimensional hard rod model describes impenetrable bosons with finite diameter, extending the Lieb-Liniger model to systems with excluded volume interactions. Here, we investigate the thermodynamics of quantum HRs using Yang-Yang…

Strongly Correlated Electrons · Physics 2026-05-25 Shengjie Yu , Zhaoxuan Zhu , Laurent Sanchez-Palencia

One-dimensional (1D) systems and models provide a versatile platform for emergent phenomena induced by strong electron correlation. In this work, we extend the newly developed real space neural network quantum Monte Carlo methods to study…

Strongly Correlated Electrons · Physics 2024-12-02 Haoxiang Chen , Weiluo Ren , Xiang Li , Ji Chen

Many one--dimensional quantum systems, in particular interacting electron and spin systems, can be described a Luttinger liquids. Here, some basic ideas of this picture of one--dimensional systems are briefly reviewed. I then discuss the…

Condensed Matter · Physics 2009-10-28 H. J. Schulz

Supersolidity -- a quantum-mechanical phenomenon characterized by the presence of both superfluidity and crystalline order -- was initially envisioned in the context of bulk solid helium, as a possible answer to the question of whether a…

In this paper we initiate the study of holographic quantum liquids in 1+1 dimensions. Since the Landau Fermi liquid theory breaks down in 1+1 dimensions, it is of interest to see what holographic methods have to say about similar models.…

High Energy Physics - Theory · Physics 2014-11-20 Ling-Yan Hung , Aninda Sinha

We have performed quantum Monte Carlo simulations measuring the finite size and temperature superfluid response of helium-4 to the linear and rotational motion of the walls of a nanopore. Within the two-fluid model, the portion of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-04 B. Kulchytskyy , G. Gervais , A. Del Maestro

Although the concept of Luttinger liquid (LL) that describes a one-dimensional (1D) interacting fermion system collapses in higher dimensions, it has been proposed to be closely related to many mysteries including the normal state of…

Strongly Correlated Electrons · Physics 2022-12-06 X. Du , L. Kang , Y. Y. Lv , J. S. Zhou , X. Gu , R. Z. Xu , Q. Q. Zhang , Z. X. Yin , W. X. Zhao , Y. D. Li , S. M. He , D. Pei , Y. B. Chen , M. X. Wang , Z. K. Liu , Y. L. Chen , L. X. Yang

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

Following the recent proposal to create quadrupolar gases [S.G. Bhongale et al., Phys. Rev. Lett. 110, 155301 (2013)], we investigate what quantum phases can be created in these systems in one dimension. We consider a geometry of two…

Quantum Gases · Physics 2014-01-08 Wen-Min Huang , M. Lahrz , L. Mathey

Fermionic superfluids provide a new realization of quantum turbulence, accessible to both experiment and theory, yet relevant to phenomena from both cold atoms to nuclear astrophysics. In particular, the strongly interacting Fermi gas…

Quantum Gases · Physics 2016-12-13 Aurel Bulgac , Michael McNeil Forbes , Gabriel Wlazłowski

The Tomonaga-Luttinger liquid (TLL) concept is believed to generically describe the strongly-correlated physics of one-dimensional systems at low temperatures. A hallmark signature in 1D conductors is the quantum phase transition between…

Mesoscale and Nanoscale Physics · Physics 2018-12-14 A. Anthore , Z. Iftikhar , E. Boulat , F. D. Parmentier , A. Cavanna , A. Ouerghi , U. Gennser , F. Pierre

The experimental realization of a thin layer of spin-polarized hydrogen adsorbed on top of the surface of superfluid 4He provides one of the best examples of a stable nearly two-dimensional quantum Bose gas. We report a theoretical study of…

Quantum Gases · Physics 2015-06-18 J. M. Marin , L. Vranjes Markic , J. Boronat

Modern condensed matter physics relies on the concept of topology to classify matter, from quantum Hall systems to topological insulators. Engineered systems, benefiting from synthetic dimensions, can potentially give access to novel…

One-dimensional (1D) electron systems in the presence of Coulomb interaction are described by Luttinger liquid theory. The strength of Coulomb interaction in the Luttinger liquid, as parameterized by the Luttinger parameter K, is in general…

Strongly Correlated Electrons · Physics 2017-06-21 Tobias Müller , Ronny Thomale , Björn Trauzettel , Erwann Bocquillon , Oleksiy Kashuba