scholarly journals A note on generalized hydrodynamics: inhomogeneous fields and other concepts

2017 ◽  
Vol 2 (2) ◽  
Author(s):  
Benjamin Doyon ◽  
Takato Yoshimura
Keyword(s):  
Equations Of State ◽  
Integrable Model ◽  
Temperature Fields ◽  
Full Description ◽  
Bose Gases ◽  
One Dimensional ◽  
Commuting Flows ◽  
Equilibrium Dynamics ◽  
The Core ◽  
Generalized Hydrodynamics

Generalized hydrodynamics (GHD) was proposed recently as a formulation of hydrodynamics for integrable systems, taking into account infinitely-many conservation laws. In this note we further develop the theory in various directions. By extending GHD to all commuting flows of the integrable model, we provide a full description of how to take into account weakly varying force fields, temperature fields and other inhomogeneous external fields within GHD. We expect this can be used, for instance, to characterize the non-equilibrium dynamics of one-dimensional Bose gases in trap potentials. We further show how the equations of state at the core of GHD follow from the continuity relation for entropy, and we show how to recover Euler-like equations and discuss possible viscosity terms.

scholarly journals Josephson oscillations in split one-dimensional Bose gases

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Yuri Daniel van Nieuwkerk ◽  
Jörg Schmiedmayer ◽  
Fabian Essler
Keyword(s):  
Three Dimensional ◽  
Time Dependent ◽  
Dimensional Theory ◽  
Bose Gases ◽  
Microscopic Description ◽  
One Dimensional ◽  
Hartree Fock ◽  
Equilibrium Dynamics ◽  
Self Consistent ◽  
Double Well Potential

We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to a highly elongated double well potential. We use a self-consistent time-dependent Hartree--Fock approximation in combination with a projection of the full three-dimensional theory to several coupled one-dimensional channels. This allows us to model the time-dependent splitting and phase imprinting of a gas initially confined to a single quasi one-dimensional potential well and obtain a microscopic description of the ensuing damped Josephson oscillations.

scholarly journals On the low-energy description for tunnel-coupled one-dimensional Bose gases

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Yuri Daniel van Nieuwkerk ◽  
Fabian Essler
Keyword(s):  
Bose Gases ◽  
Initial State ◽  
One Dimensional ◽  
Equilibrium Dynamics ◽  
Wall Boundary Conditions ◽  
Phase Fields ◽  
Conformal Spin ◽  
Sine Gordon Model ◽  
Two Sectors ◽  
Scaling Dimension

We consider a model of two tunnel-coupled one-dimensional Bose gases with hard-wall boundary conditions. Bosonizing the model and retaining only the most relevant interactions leads to a decoupled theory consisting of a quantum sine-Gordon model and a free boson, describing respectively the antisymmetric and symmetric combinations of the phase fields. We go beyond this description by retaining the perturbation with the next smallest scaling dimension. This perturbation carries conformal spin and couples the two sectors. We carry out a detailed investigation of the effects of this coupling on the non-equilibrium dynamics of the model. We focus in particular on the role played by spatial inhomogeneities in the initial state in a quantum quench setup.

scholarly journals Equations of state from individual one-dimensional Bose gases

2018 ◽  
Vol 20 (11) ◽  
pp. 113032 ◽  
Author(s):  
F Salces-Carcoba ◽  
C J Billington ◽  
A Putra ◽  
Y Yue ◽  
S Sugawa ◽  
...  
Keyword(s):  
Equations Of State ◽  
Bose Gases ◽  
One Dimensional

scholarly journals Exploring multiband excitations of interacting Bose gases in a one-dimensional optical lattice by coherent scattering

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
Xinxing Liu ◽  
Xiaoji Zhou ◽  
Wei Zhang ◽  
Thibault Vogt ◽  
Bo Lu ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Coherent Scattering ◽  
Bose Gases ◽  
One Dimensional

scholarly journals Simulations of the IMF in Clusters

2010 ◽  
Vol 6 (S270) ◽  
pp. 151-158
Author(s):  
Ralph E. Pudritz
Keyword(s):  
Equations Of State ◽  
Stellar Dynamics ◽  
Mass Function ◽  
Initial Mass Function ◽  
Core Mass ◽  
Numerical Work ◽  
Computational Approaches ◽  
The Core ◽  
The Imf

AbstractWe review computational approaches to understanding the origin of the Initial Mass Function (IMF) during the formation of star clusters. We examine the role of turbulence, gravity and accretion, equations of state, and magnetic fields in producing the distribution of core masses - the Core Mass Function (CMF). Observations show that the CMF is similar in form to the IMF. We focus on feedback processes such as stellar dynamics, radiation, and outflows can reduce the accreted mass to give rise to the IMF. Numerical work suggests that filamentary accretion may play a key role in the origin of the IMF.

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