Confined quantum systems in one dimension and conductance oscillations in narrow channels

1994 ◽  
Vol 49 (7) ◽  
pp. 4635-4639 ◽  
Author(s):  
Karel Vacek ◽  
Ayao Okiji ◽  
Norio Kawakami
Keyword(s):  
Quantum Systems ◽  
One Dimension ◽  
Narrow Channels ◽  
Confined Quantum Systems

scholarly journals Strongly interacting confined quantum systems in one dimension

2014 ◽  
Vol 5 (1) ◽  
Author(s):  
A. G. Volosniev ◽  
D. V. Fedorov ◽  
A. S. Jensen ◽  
M. Valiente ◽  
N. T. Zinner
Keyword(s):  
Quantum Systems ◽  
One Dimension ◽  
Strongly Interacting ◽  
Confined Quantum Systems

Confined quantum systems and their limits

2009 ◽  
Vol 50 (2) ◽  
pp. 022101 ◽  
Author(s):  
Francesco Belgiorno ◽  
Franco Gallone
Keyword(s):  
Quantum Systems ◽  
Confined Quantum Systems

WKB quantization rules for three-dimensional confinement

2001 ◽  
Vol 79 (6) ◽  
pp. 939-946 ◽  
Author(s):  
A Sinha ◽  
R Roychoudhury ◽  
Y P Varshni
Keyword(s):  
Hydrogen Atom ◽  
Harmonic Oscillator ◽  
Reasonable Agreement ◽  
Three Dimensional ◽  
Quantum Systems ◽  
The Past ◽  
Two Systems ◽  
Mathematical Techniques ◽  
Confined Quantum Systems ◽  
Quantization Rules

Confined quantum systems have been studied by various authors over the past decades, by using various mathematical techniques. In this work, we derive the WKB quantization rules for quantum systems confined in an impenetrable spherical box of radius r0. We apply the proposed method to two systems explicitly, viz., the confined harmonic oscillator and the confined hydrogen atom. The results are found to be in reasonable agreement with those obtained by other methods. PACS No.: 03.65

scholarly journals Entanglement spreading and quasiparticle picture beyond the pair structure

2020 ◽  
Vol 8 (3) ◽  
Author(s):  
Alvise Bastianello ◽  
Mario Collura
Keyword(s):  
Quantum Systems ◽  
One Dimension ◽  
Many Body ◽  
Initial State ◽  
Perfect Agreement ◽  
Quasi Particle ◽  
Simple Assumption ◽  
The Common ◽  
Quasiparticle Picture ◽  
Number Of Particles

The quasi-particle picture is a powerful tool to understand the entanglement spreading in many-body quantum systems after a quench. As an input, the structure of the excitations' pattern of the initial state must be provided, the common choice being pairwise-created excitations. However, several cases exile this simple assumption. In this work we investigate weakly-interacting to free quenches in one dimension. This results in a far richer excitations' pattern where multiplets with a larger number of particles are excited. We generalize the quasi-particle ansatz to such a wide class of initial states, providing a small-coupling expansion of the Rényi entropies. Our results are in perfect agreement with iTEBD numerical simulations.

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