Transition from a strongly interacting 1d superfluid to a Mott insulator.

By T. Stöferle, H. Moritz, C. Schori, M. Köhl, Tilman Esslinger. Physical Review Letters, 2003

667 citations recorded by the source corpus.

We study 1D trapped Bose gases in the strongly interacting regime. The systems are created in an optical lattice and are subject to a longitudinal periodic potential. Bragg spectroscopy enables us to investigate the excitation spectrum in different regimes. In the superfluid phase a broad continuum of excitations is observed which calls for an interpretation beyond the Bogoliubov spectrum taking into account the effect of strong interactions. In the Mott insulating phase a discrete spectrum is measured. Both phases are compared to the 3D situation and to the crossover regime from 1D to 3D. The coherence length and coherent fraction of the gas are measured in all configurations. We observe signatures for increased fluctuations characteristic for 1D systems. Moreover, the collective oscillations cease near the transition to the Mott insulator phase.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/53bafd332293d070e171df37c5f12ae8fcc5c4eb

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Citations in the corpus

Cooling in strongly correlated optical lattices: prospects and challenges (2010, background): “To date, atoms have been trapped in in the strongly correlated limit in cubic [26], square [48–50], one-dimensional [51], hexagonal [52, 53] and triangular [54] lattices.”
Tonks–Girardeau gas of ultracold atoms in an optical lattice (2004, background): “Additionally, in order to achieve a pure TG regime in a lattice, the filling factor ν should be smaller than unity: otherwise, doubly occupied sites would be present, and the direct correspondence to the TG gas would be lost (as in a recent experiment, see ref”
Keldysh field theory for driven open quantum systems (2015, background): “[322] Thilo Stöferle, Henning Moritz, Christian Schori, Michael Köhl, and Tilman Esslinger, “Transition from a strongly interacting 1d superfluid to a mott insulator,” Phys.”
Measuring multipartite entanglement through dynamic susceptibilities (2015, methodology): “Dynamic susceptibilities are routinely measured in manybody systems using well-established techniques such as Bragg spectroscopy [28, 29] or neutron scattering [30].”
Exploring quantum matter with ultracold atoms in optical lattices (2005, methodology): “Furthermore, the crucial effect of dimensionality can be investigated and has been at the heart of a series of recent fundamental studies of, e.g., one-dimensional quantum gases (Stöferle et al 2004, Tolra et al 2004, Paredes et al 2004, Kinoshita et al 2004).”
Fermi gases in one dimension: From Bethe ansatz to experiments (2013, background): “The 1D-3D crossover and quantum phase transitions from a 1D superfluid to a Mott insulator have been observed in quasi-1D systems of an additional lattice potential along the longitudinal direction (Fabbri et al., 2012; Haller et al., 2010a; Stöferle et al., 2004).”
One dimensional bosons: From condensed matter systems to ultracold gases (2011, methodology): “Some of the early studies of the nonequilibrium dynamics in 1D geometries addressed the effect of a lattice potential and the onset of the superfluid to Mott insulator transition in the transport properties of a bosonic gas (Fertig et al., 2005b; Stöferle et al., 2004b).”