scholarly journals Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap

2019 ◽  
Vol 405 ◽  
pp. 274-288 ◽  
Author(s):  
Oleksandr V. Marchukov ◽  
Uwe R. Fischer
Keyword(s):  
Harmonic Trap ◽  
Many Body ◽  
One Dimensional ◽  
Body State ◽  
Self Consistent ◽  
Ultracold Bosonic Atoms ◽  
Bosonic Atoms ◽  
The Many

scholarly journals Truncated many-body dynamics of interacting bosons: A variational principle with error monitoring

2014 ◽  
Vol 28 (30) ◽  
pp. 1550021 ◽  
Author(s):  
Kang-Soo Lee ◽  
Uwe R. Fischer
Keyword(s):  
Variational Principle ◽  
Temporal Evolution ◽  
Field Operator ◽  
Error Monitoring ◽  
Many Body ◽  
Body State ◽  
Body Dynamics ◽  
Self Consistent ◽  
The Many ◽  
Trial State

We develop a method to describe the temporal evolution of an interacting system of bosons, for which the field operator expansion is truncated after a finite number M of modes, in a rigorously controlled manner. Using McLachlan's principle of least error, we find a self-consistent set of equations for the many-body state. As a particular benefit and in distinction to previously proposed approaches, the presently introduced method facilitates the dynamical increase of the number of orbitals during the temporal evolution, due to the fact that we can rigorously monitor the error made by increasing the truncation dimension M. The additional orbitals, determined by the condition of least error of the truncated evolution relative to the exact one, are obtained from an initial trial state by steepest constrained descent.

Many-body Green functions in nuclear physics

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740025 ◽  
Author(s):  
J. Speth ◽  
N. Lyutorovich
Keyword(s):  
Nuclear Physics ◽  
Green Functions ◽  
Many Body ◽  
General Applicability ◽  
Pair Correlations ◽  
Self Consistent ◽  
The Many ◽  
The One ◽  
General Relations ◽  
Three Body

Many-body Green functions are a very efficient formulation of the many-body problem. We review the application of this method to nuclear physics problems. The formulas which can be derived are of general applicability, e.g., in self-consistent as well as in nonself-consistent calculations. With the help of the Landau renormalization, one obtains relations without any approximations. This allows to apply conservation laws which lead to important general relations. We investigate the one-body and two-body Green functions as well as the three-body Green function and discuss their connection to nuclear observables. The generalization to systems with pair correlations are also presented. Numerical examples are compared with experimental data.

Effects of atomic species and interatomic distance on the interactions in one-dimensional nanomaterials

2019 ◽  
Vol 21 (46) ◽  
pp. 25889-25895
Author(s):  
Yi-Fan Bu ◽  
Ming Zhao ◽  
Yun Chen ◽  
Wang Gao ◽  
Qing Jiang
Keyword(s):  
Interatomic Distance ◽  
Many Body ◽  
One Dimensional ◽  
Atomic Species ◽  
Many Body Effects ◽  
The Many

The many-body effects of vdW interactions within 1D wires vary with the interatomic distance of wires and atomic species.

scholarly journals Dynamics of Ultracold Bosons in Artificial Gauge Fields—Angular Momentum, Fragmentation, and the Variance of Entropy

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 392
Author(s):  
Axel U. J. Lode ◽  
Sunayana Dutta ◽  
Camille Lévêque
Keyword(s):  
Angular Momentum ◽  
Gauge Field ◽  
Time Dependent ◽  
Gauge Fields ◽  
Single Shot ◽  
Body Density ◽  
Many Body ◽  
Atomic Systems ◽  
Body State ◽  
The Many

We consider the dynamics of two-dimensional interacting ultracold bosons triggered by suddenly switching on an artificial gauge field. The system is initialized in the ground state of a harmonic trapping potential. As a function of the strength of the applied artificial gauge field, we analyze the emergent dynamics by monitoring the angular momentum, the fragmentation as well as the entropy and variance of the entropy of absorption or single-shot images. We solve the underlying time-dependent many-boson Schrödinger equation using the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X). We find that the artificial gauge field implants angular momentum in the system. Fragmentation—multiple macroscopic eigenvalues of the reduced one-body density matrix—emerges in sync with the dynamics of angular momentum: the bosons in the many-body state develop non-trivial correlations. Fragmentation and angular momentum are experimentally difficult to assess; here, we demonstrate that they can be probed by statistically analyzing the variance of the image entropy of single-shot images that are the standard projective measurement of the state of ultracold atomic systems.

scholarly journals QUANTUM MATTERS: PHYSICS BEYOND LANDAU'S PARADIGMS

2006 ◽  
Vol 20 (19) ◽  
pp. 2603-2611 ◽  
Author(s):  
T. SENTHIL
Keyword(s):  
Particle Physics ◽  
Order Parameter ◽  
Theoretical Work ◽  
Many Body ◽  
General Validity ◽  
Quasiparticle Excitation ◽  
Body State ◽  
Growing Body ◽  
The Many ◽  
Theoretical Developments

Central to our understanding of quantum many particle physics are two ideas due to Landau. The first is the notion of the electron as a well-defined quasiparticle excitation in the many body state. The second is that of the order parameter to distinguish different states of matter. Experiments in a number of correlated materials raise serious suspicions about the general validity of either notion. A growing body of theoretical work has confirmed these suspicions, and explored physics beyond Landau's paradigms. This article provides an overview of some of these theoretical developments.

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