scholarly journals Momentum-Space Decoherence of Distinguishable and Identical Particles in the Caldeira–Leggett Formalism

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1469
Author(s):  
Z. Khani ◽  
S. V. Mousavi ◽  
S. Miret-Artés

In this work, momentum-space decoherence using minimum and nonminimum-uncertainty-product (stretched) Gaussian wave packets in the framework of Caldeira–Leggett formalism and under the presence of a linear potential is studied. As a dimensionless measure of decoherence, purity, a quantity appearing in the definition of the linear entropy, is studied taking into account the role of the stretching parameter. Special emphasis is on the open dynamics of the well-known cat states and bosons and fermions compared to distinguishable particles. For the cat state, while the stretching parameter speeds up the decoherence, the external linear potential strength does not affect the decoherence time; only the interference pattern is shifted. Furthermore, the interference pattern is not observed for minimum-uncertainty-product-Gaussian wave packets in the momentum space. Concerning bosons and fermions, the question we have addressed is how the symmetry of the wave functions of indistinguishable particles is manifested in the decoherence process, which is understood here as the loss of being indistinguishable due to the gradual emergence of classical statistics with time. We have observed that the initial bunching and anti-bunching character of bosons and fermions, respectively, in the momentum space are not preserved as a function of the environmental parameters, temperature, and damping constant. However, fermionic distributions are slightly broader than the distinguishable ones and these similar to the bosonic distributions. This general behavior could be interpreted as a residual reminder of the symmetry of the wave functions in the momentum space for this open dynamics.

1992 ◽  
Vol 70 (1) ◽  
pp. 86-89 ◽  
Author(s):  
John W. Norbury ◽  
David E. Kahana ◽  
Khin Maung Maung

A method is presented for the solution in momentum space of the bound-state problem with a linear potential in r space. The potential is unbounded at large r leading to a singularity at small q. The singularity is integrable, when regulated by exponentially screening the r-space potential, and is removed by a subtraction technique. The limit of zero screening is taken analytically, and the numerical solution of the subtracted integral equation gives eigenvalues and wave functions in good agreement with position space calculations.


2019 ◽  
Vol 16 (2) ◽  
pp. 026004 ◽  
Author(s):  
Xi Peng ◽  
Yingji He ◽  
Dongmei Deng ◽  
Yunli Qiu ◽  
Xing Zhu ◽  
...  

2019 ◽  
Vol 435 ◽  
pp. 164-172 ◽  
Author(s):  
Shijie Chen ◽  
Xinyi Zheng ◽  
Youwei Zhan ◽  
Shudan Ma ◽  
Dongmei Deng

Atoms ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 42 ◽  
Author(s):  
Wayne Huang ◽  
Herman Batelaan

The interference pattern in electron double-slit diffraction is a hallmark of quantum mechanics. A long-standing question for stochastic electrodynamics (SED) is whether or not it is capable of reproducing such effects, as interference is a manifestation of quantum coherence. In this study, we used excited harmonic oscillators to directly test this quantum feature in SED. We used two counter-propagating dichromatic laser pulses to promote a ground-state harmonic oscillator to a squeezed Schrödinger cat state. Upon recombination of the two well-separated wavepackets, an interference pattern emerges in the quantum probability distribution but is absent in the SED probability distribution. We thus give a counterexample that rejects SED as a valid alternative to quantum mechanics.


2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Xi Peng ◽  
Jingli Zhuang ◽  
Yulian Peng ◽  
DongDong Li ◽  
Liping Zhang ◽  
...  

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