Dynamical depinning of a Tonks-Girardeau gas

Cartarius, Florian; Kawasaki, Eiji; Minguzzi, Anna

doi:10.1103/physreva.92.063605

Cited by 13 publications

(11 citation statements)

References 37 publications

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“…Introduction.-With recent experimental advances in the field of cold atomic gases, the physics of the onedimensional Bose gas is receiving an increasing amount of attention. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] These systems, in which one has unprecedented isolation from the environment and fine control of interparticle interactions, are excellent tools for examining novel phenomena arising from strong correlations.…”

mentioning

confidence: 99%

Motion of a Distinguishable Impurity in the Bose Gas: Arrested Expansion Without a Lattice and Impurity Snaking

2016

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We consider the real time dynamics of an initially localized distinguishable impurity injected into the ground state of the Lieb-Liniger model. Focusing on the case where integrability is preserved, we numerically compute the time evolution of the impurity density operator in regimes far from analytically tractable limits. We find that the injected impurity undergoes a stuttering motion as it moves and expands. For an initially stationary impurity, the interaction-driven formation of a quasibound state with a hole in the background gas leads to arrested expansion -a period of quasistationary behavior. When the impurity is injected with a finite center of mass momentum, the impurity moves through the background gas in a snaking manner, arising from a quantum Newton's cradle-like scenario where momentum is exchanged back-and-forth between the impurity and the background gas.Introduction.-With recent experimental advances in the field of cold atomic gases, the physics of the onedimensional Bose gas is receiving an increasing amount of attention.1-15 These systems, in which one has unprecedented isolation from the environment and fine control of interparticle interactions, are excellent tools for examining novel phenomena arising from strong correlations.One such phenomenon which has piqued both theoretical 8,14,[16][17][18][19][20][21] and experimental 19,22 curiosity is the expansion dynamics of a gas of cold atoms. A number of surprising and interesting effects have been observed, of which arrested expansion (or self trapping)16-18 is of particular relevance to this work. A gas (bosons 19 or fermions 23,24 ) is released from a confining potential and allowed to expand on the lattice. Under this time evolution 'bimodal' expansion is observed: the sparse outer regions of the cloud rapidly expand whilst the dense central region spreads only very slowly. This can be partially understood by considering the limit of strong interactions: doubly occupied sites are high energy configurations which, thanks to the lattice imposing a finite bandwidth and energy conservation, cannot release their energy to the rest of the system and decay. 18With these recent experimental advances 25 has also come the ability to examine systems in which there is a large imbalance between two species; 6,7,9,26-29 a natural starting point for the study of impurity physics. This gives insight in to a diverse range of problems, 29 from the physics of polarons 27,30 to the x-ray edge singularity 31,32 and the orthogonality catastrophe. 33 The physics of impurities also plays an important role in the calculation of edge exponents in dynamical correlation functions 34 and in understanding the nonequilibrium dynamics following a local quantum quench. 13,35,36The experimental study of the out-of-equilibrium dynamics of a single impurity in the one-dimensional Bose gas has revealed rather rich physics: from how an impurity spreads when accelerated through a Tonks-Girardeau gas, 6 to how interactions effect oscillations in the size of a trapped out-of-e...

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confidence: 99%

Motion of a Distinguishable Impurity in the Bose Gas: Arrested Expansion Without a Lattice and Impurity Snaking

2016

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“…For t > 0, the bump is suddenly turned off. The time evolution of the spinless fermion wave function can then be described in terms of the evolution of the single particle orbitals under the same quench protocol 19,58 . We are thus able to construct Φ( x 1 , ..., x N , t ) for all times t , which in turn determines the time-dependence of the exchange coefficients in Eq.…”

Section: Resultsmentioning

confidence: 99%

“…These experiments feature a remarkable degree of control over different parameters, such as the confinement frequency, number of atoms and interactions between them 8,9 . While theoretical models with exact solutions usually assume periodic boundary conditions, different approaches have made it possible to study one-dimensional systems of atoms in confining geometries that range from the harmonic trap 10–12 to double-wells 13–16 , boxes 17,18 and one-dimensional lattices 19,20 .…”

Section: Introductionmentioning

confidence: 99%

Dynamics of spin and density fluctuations in strongly interacting few-body systems

Barfknecht¹,

Foerster²,

Zinner³

2019

Sci Rep

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The decoupling of spin and density dynamics is a remarkable feature of quantum one-dimensional many-body systems. In a few-body regime, however, little is known about this phenomenon. To address this problem, we study the time evolution of a small system of strongly interacting fermions after a sudden change in the trapping geometry. We show that, even at the few-body level, the excitation spectrum of this system presents separate signatures of spin and density dynamics. Moreover, we describe the effect of considering additional internal states with SU(N) symmetry, which ultimately leads to the vanishing of spin excitations in a completely balanced system.

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“…The bottleneck in this procedure occurs in the calculation of the overlaps which proves to be rather difficult. Outside of the Tonks-Girardeau (TG) limit of c → ∞, where calculations are simplified [34][35][36][37][38][39] , exact overlaps are scarce 40,41 . To simplify the calculation we shall use an alternate resolution of the identity that is particularly convenient when working with initial states like (4) which are ordered in real space 42 ,…”

Section: An Alternate Identitymentioning

confidence: 99%

Quantum work of an optical lattice

Rylands

Andrei

2019

Phys. Rev. B

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A classic example of a quantum quench concerns the release of a interacting Bose gas from an optical lattice. The local properties of quenches such as this have been extensively studied however the global properties of these non-equilibrium quantum systems have received far less attention. Here we study several aspects of global non-equilibrium behavior by calculating the amount of work done by the quench as measured through the work distribution function. Using Bethe Ansatz techniques we determine the Loschmidt amplitude and work distribution function of the Lieb-Liniger gas after it is released from an optical lattice. We find the average work and its universal edge exponents from which we determine the long time decay of the Loshcmidt echo and highlight striking differences caused by the the interactions as well as changes in the geometry of the system. We extend our calculation to the attractive regime of the model and show that the system exhibits properties similar to the super Tonks-Girardaeu gas. Finally we examine the prominent role played by bound states in the work distribution and show that, with low probability, they allow for work to be extracted from the quench. arXiv:1904.07995v2 [cond-mat.str-el]

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Dynamical depinning of a Tonks-Girardeau gas

Cited by 13 publications

References 37 publications

Motion of a Distinguishable Impurity in the Bose Gas: Arrested Expansion Without a Lattice and Impurity Snaking

Motion of a Distinguishable Impurity in the Bose Gas: Arrested Expansion Without a Lattice and Impurity Snaking

Dynamics of spin and density fluctuations in strongly interacting few-body systems

Quantum work of an optical lattice

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