scholarly journals Driving Interactions Efficiently in a Composite Few-Body System

Universe ◽  
2019 ◽  
Vol 5 (10) ◽  
pp. 207 ◽  
Author(s):  
Alan Kahan ◽  
Thomás Fogarty ◽  
Jing Li ◽  
Thomas Busch
Keyword(s):  
Phase Separation ◽  
Ground State ◽  
Species Interactions ◽  
Complex Dynamics ◽  
Particle Interactions ◽  
Body System ◽  
Final State ◽  
Strongly Interacting ◽  
Shortcuts To Adiabaticity ◽  
Trapped Bosons

We study how to efficiently control an interacting few-body system consisting of three harmonically trapped bosons. Specifically, we investigate the process of modulating the inter-particle interactions to drive an initially non-interacting state to a strongly interacting one, which is an eigenstate of a chosen Hamiltonian. We also show that for unbalanced subsystems, where one can individually control the different inter- and intra-species interactions, complex dynamics originate when the symmetry of the ground state is broken by phase separation. However, as driving the dynamics too quickly can result in unwanted excitations of the final state, we optimize the driven processes using shortcuts to adiabaticity, which are designed to reduce these excitations at the end of the interaction ramp, ensuring that the target eigenstate is reached.

Mesonic and isobar degrees of freedom in the ground state of the nuclear many-body system

1978 ◽  
Vol 18 (5) ◽  
pp. 2416-2429 ◽  
Author(s):  
M. R. Anastasio ◽  
Amand Faessler ◽  
H. Müther ◽  
K. Holinde ◽  
R. Machleidt
Keyword(s):  
Ground State ◽  
Degrees Of Freedom ◽  
Body System ◽  
Many Body

scholarly journals Probing the edge between integrability and quantum chaos in interacting few-atom systems

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 486
Author(s):  
Thomás Fogarty ◽  
Miguel Ángel García-March ◽  
Lea F. Santos ◽  
Nathan L. Harshman
Keyword(s):  
Quantum Chaos ◽  
Cold Atoms ◽  
Quantum Systems ◽  
Particle Interactions ◽  
Body System ◽  
Many Body ◽  
One Dimensional ◽  
The Core ◽  
Emergence Of Chaos ◽  
Number Of Particles

Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that can be experimentally realized with cold atoms trapped in one-dimensional multi-well potentials. We explore the emergence of chaos as the number of particles is increased, starting with as few as two, and as the number of wells is increased, ranging from a double well to a multi-well Kronig-Penney-like system. In this way, we illuminate the narrow boundary between integrability and chaos in a highly tunable few-body system. We show that the competition between the particle interactions and the periodic structure of the confining potential reveals subtle indications of quantum chaos for 3 particles, while for 4 particles stronger signatures are seen. The analysis is performed for bosonic particles and could also be extended to distinguishable fermions.

scholarly journals Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas

2021 ◽  
Vol 9 ◽  
Author(s):  
Masaaki Tokieda ◽  
Shimpei Endo
Keyword(s):  
Quantum Dynamics ◽  
Cold Atoms ◽  
Fermi Gas ◽  
Quantum Systems ◽  
Harmonic Potential ◽  
Particle Interactions ◽  
Dissipative Dynamics ◽  
Strongly Interacting ◽  
Unitary Fermi Gas

We analytically study quantum dissipative dynamics described by the Caldirola-Kanai model with inter-particle interactions. We have found that the dissipative quantum dynamics of the Caldirola-Kanai model can be exactly mapped to a dissipationless quantum dynamics under a negative external harmonic potential, even when the particles are strongly interacting. In particular, we show that the mapping is valid for the unitary Fermi gas, which is relevant for cold atoms and nuclear matters.

POSSIBLE EVIDENCE FOR A VALENCE BAND SATELLITE IN PHOTOEMISSION SPECTRA FROM Sc(0001)

1994 ◽  
Vol 01 (04) ◽  
pp. 649-653 ◽  
Author(s):  
A.J. PATCHETT ◽  
S.S. DHESI ◽  
R.I.R. BLYTH ◽  
S.D. BARRETT
Keyword(s):  
Electronic Structure ◽  
Rare Earth ◽  
Binding Energy ◽  
Single Crystals ◽  
Valence Band ◽  
Ground State ◽  
Rare Earth Metals ◽  
Final State ◽  
Bulk Single Crystals ◽  
The Creation

An intense photoemission feature is observed at a binding energy of ~10 eV in the UV photoemission spectra from the (0001) surfaces of bulk single crystals of rare-earth metals. This emission cannot be explained in terms of ground state electronic structure and we have been unable to attribute its existence to the presence of contamination of the surface. We present some evidence that may indicate its origin lies in the creation, by the photoemission process, of a metastable two-hole final state.

scholarly journals Zur Lösung des quantenmechanischen Drei-Körper-Problems

1968 ◽  
Vol 23 (4) ◽  
pp. 579-596
Author(s):  
H. Ruder
Keyword(s):  
Ground State ◽  
Physical Meaning ◽  
State Energy ◽  
Differential Operators ◽  
Perturbation Expansion ◽  
Reflection Symmetry ◽  
Body System ◽  
Rapid Convergence ◽  
Symmetry Properties ◽  
Three Body

For the description of a three-body-system 6 coordinates are introduced which take full advantage of the symmetry properties of the system. The Schrödinger equation in these coordinates is derived. Using rotational and reflection symmetry one obtains a set of l respectively l+1 coupled differential equations containing only the 3 coordinates of the triangle formed by the 3 masses. Solutions are given for special potentials and arbitrary l. The physical meaning of the differential operators appearing in the equations becomes evident from their application to the solution functions. This leads to a rearrangement of the Hamiltonian in a very transparent form and gives a hint how to get the most effective perturbation expansion. A simple example is worked out. For systems with Coulomb interaction a modification of the method is suggested by physical considerations. The calculation of the ground state energy of the Helium atom shows the rapid convergence of the procedure.

SEPARATION OF INITIAL AND FINAL STATE CONTRIBUTIONS TO CHEMICAL SHIFTS IN TERMS OF A POTENTIAL MODEL

1994 ◽  
Vol 01 (04) ◽  
pp. 469-472 ◽  
Author(s):  
R.J. COLE ◽  
P. WEIGHTMAN
Keyword(s):  
Charge Transfer ◽  
Ground State ◽  
Potential Model ◽  
Chemical Shifts ◽  
Free Atom ◽  
Core Hole ◽  
Final State ◽  
State Charge ◽  
Elemental Solid

A recently developed potential model facilitates the separation of initial and final state contributions to chemical shifts in terms of ground state charge transfer and differences in core hole screening charge. The model is applied to the free atom to elemental solid shifts of the elements Na, Mg, Si, and Zn.

CORE-HOLE EFFECT IN THE Ce L3 X-RAY ABSORPTION SPECTRA OF CeO2 AND CeFe2: NEW EXAMINATION BY USING RESONANT X-RAY EMISSION SPECTROSCOPY

2013 ◽  
Vol 27 (16) ◽  
pp. 1330012 ◽  
Author(s):  
A. KOTANI
Keyword(s):  
Absorption Spectra ◽  
Ground State ◽  
Theoretical Calculations ◽  
Emission Spectra ◽  
Core Hole ◽  
Final State ◽  
X Ray ◽  
The Core ◽  
X Ray Absorption ◽  
Hole Effect

We consider two different resonant X-ray emission spectra for Ce compounds: Ce 3d to 2p X-ray emission (denoted by 3d-RXES) and valence to 2p X-ray emission (v-RXES), both of which follow the Ce 2p to 5d resonant excitation. We propose that the comparison of the 3d- and v-RXES spectra is a new powerful method of directly detecting the core-hole effect in the final state of Ce L 3 X-ray absorption spectra (XAS). We applied this method to recent experimental RXES spectra for CeO 2 and CeFe 2, and showed unambiguously that the core-hole effect should be essential in the XAS of both materials. This result is confirmed by theoretical calculations, which reproduce well the experimental RXES and XAS spectra. We conclude that the ground state of CeO 2 is in the mixed state of 4f0 and [Formula: see text] configurations, where [Formula: see text] is a ligand hole, instead of a pure 4f0 configuration which was proposed recently by first-principles energy band calculations. Also, we conclude that the double peaks observed in L 3 XAS of CeFe 2 are caused by the 4f0 and 4f1 configurations, which are mixed in the ground state but separated in energy by the large core-hole potential in the final state of XAS.

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