One dimensional bosons: From condensed matter systems to ultracold gases

By M. Cazalilla, R. Citro, Thierry Giamarchi, Edmond Orignac, Marcos Rigol. 2011

752 citations recorded by the source corpus.

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with results from exactly solvable models and computational approaches, the concept of bosonic Tomonaga-Luttinger liquids relevant for one-dimensional Bose fluids is introduced, and compared with Bose-Einstein condensates existing in dimensions higher than one. The effects of various perturbations on the Tomonaga-Luttinger liquid state are discussed as well as extensions to multicomponent and out of equilibrium situations. Finally, the experimental systems that can be described in terms of models of interacting bosons in one dimension are discussed.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/98659aab449b6ce3f0d338c96612f016c1b75df3

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Prethermalization and Thermalization in Isolated Quantum Systems (2018, background): “[50] M.”
Fermi gases in one dimension: From Bethe ansatz to experiments (2013, methodology): “In 1D many-body systems, all particles participate in the low energy excitations and form collective motions of the charge and spin densities with different velocities (Cazalilla et al., 2011; Giamarchi, 2004; Gogolin, 1998; Tsvelik and Wiegmann, 1983).”
Quantum Many-Body Scars: A Quasiparticle Perspective (2022, background): “Starting from the ground state, the authors cyclically vary the contact interaction strength; as the Hamiltonian of the gas is close to an integrable one (the Lieb–Liniger model (177, 178)), this process maps one eigenstate to another higher up in energy instead of heating up the gas.”
Emergent hydrodynamics in integrable quantum systems out of equilibrium (2016, background): “Nevertheless, at low temperatures TL;R ≪ μ, Luttinger liquid physics emerges [73], including an emerging light cone due to the Fermi velocity.”
Quantum simulation with interacting photons (2016, methodology): “For further information about the physics of interacting bosons in one dimension we here refer the reader to the review by Cazalilla et al. [44] and now proceed to discussing realisations of this physics with interacting photons.”
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm (2011, background): “The interest in interacting 1D bosonic systems, see the recent review by Cazalilla et al. (2011), has soared in past years mostly thanks to an increasing variety of experiments.”
Generalized Gibbs ensemble in integrable lattice models (2016, methodology): “We express the spin operators in terms of ladder operators Ŝ± j = Ŝ x j ± iŜ y j , which, in turn, can be expressed in terms of hard-core bosons as [15, 75]: Ŝ j = b̂ † j √ 1− n̂j, Ŝ− j = √ 1− n̂j b̂j, and Ŝ j = n̂j − 1/2, where n̂j = b̂ † j b̂j.”
Universal few-body physics and cluster formation (2017, background): “gases (Bloch et al., 2008; Bongs and Sengstock, 2004; Cazalilla et al., 2011; Giamarchi, 2004; Imambekov et al., 2012; Kolomeisky and Straley, 1996; Lewenstein et al., 2012, 2007; Lieb et al., 2004; McKay and DeMarco, 2011) of bosonic or fermionic or mixed symmetry (Giorgini et al.”