scholarly journals Witnessing latent time correlations with a single quantum particle

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
Hlér Kristjánsson ◽  
Wenxu Mao ◽  
Giulio Chiribella
Keyword(s):  
Quantum Particle ◽  
Single Quantum ◽  
Latent Time ◽  
Time Correlations

scholarly journals Two-Way Communication with a Single Quantum Particle

2018 ◽  
Vol 120 (6) ◽  
Author(s):  
Flavio Del Santo ◽  
Borivoje Dakić
Keyword(s):  
Quantum Particle ◽  
Single Quantum

scholarly journals Carrying an arbitrarily large amount of information using a single quantum particle

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
Li-Yi Hsu ◽  
Ching-Yi Lai ◽  
You-Chia Chang ◽  
Chien-Ming Wu ◽  
Ray-Kuang Lee
Keyword(s):  
Quantum Particle ◽  
Single Quantum ◽  
Amount Of Information

scholarly journals Past of a particle in an entangled state

2017 ◽  
Vol 15 (08) ◽  
pp. 1740019 ◽  
Author(s):  
Dilip Paneru ◽  
Eliahu Cohen
Keyword(s):  
Time Evolution ◽  
Single Particle ◽  
Quantum Particle ◽  
Higher Order ◽  
Entangled State ◽  
Entire System ◽  
Single Quantum ◽  
Single Particles ◽  
Top Down ◽  
The Past

Vaidman has proposed a controversial criterion for determining the past of a single quantum particle based on the “weak trace” it leaves. We here consider more general examples of entangled systems and analyze the past of single, as well as pairs of entangled pre- and postselected particles. Systems with nontrivial time evolution are also analyzed. We argue that in these cases, examining only the single-particle weak trace provides information which is insufficient for understanding the system as a whole. We therefore suggest to examine, alongside with the past of single particles, also the past of pairs, triplets and eventually the entire system, including higher-order, multipartite traces in the analysis. This resonates with a recently proposed top-down approach by Aharonov, Cohen and Tollaksen for understanding the structure of correlations in pre- and postselected systems.

scholarly journals STATISTICS OF A FREE SINGLE QUANTUM PARTICLE AT A FINITE TEMPERATURE

2010 ◽  
Vol 24 (25) ◽  
pp. 2541-2547 ◽  
Author(s):  
JIAN-PING PENG
Keyword(s):  
Heat Transfer ◽  
Finite Temperature ◽  
Irreversible Process ◽  
Quantum Particle ◽  
Underlying Mechanism ◽  
Exchange Energy ◽  
Matter Wave ◽  
Single Quantum ◽  
Freely Moving

We present a model to study the statistics of a single structureless quantum particle freely moving in a space at a finite temperature. It is shown that the quantum particle, in response to the temperature, can exchange energy with its environment in the form of heat transfer. The underlying mechanism is diffraction at the edge of the wavefront of its matter wave. The expressions of energy and entropy of the particle are obtained for the irreversible process.

Angular Momentum

2019 ◽  
pp. 45-62
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Quantum Mechanics ◽  
Angular Momentum ◽  
General Theory ◽  
Spin Chain ◽  
Quantum Particle ◽  
Quantum Spin ◽  
Single Quantum ◽  
Quantum Spin Chain ◽  
Single Spin ◽  
Quantum Spins

In order to prepare for the discussion of quantum many-particle Hamiltonians, for example the Heisenberg quantum spin chain Hamiltonian, this chapter examines the concept of angular momentum in quantum mechanics, especially the coupling of spin-2 operators for several quantum spins. It begins with the general theory of angular momentum for a single quantum particle, especially for a single spin-1, described by Pauli spin matrices, and then extends to the theory of angular momentum for several particles, again especially for several spins1.

scholarly journals Star-quantization of an infinite wall

2006 ◽  
Vol 84 (6-7) ◽  
pp. 557-563 ◽  
Author(s):  
S Kryukov ◽  
M A Walton
Keyword(s):  
Quantum Mechanics ◽  
Deformation Quantization ◽  
Quantum Particle ◽  
Equation Of Motion ◽  
One Dimension ◽  
Mass Treatment ◽  
Single Quantum ◽  
Weyl Transform ◽  
Infinite Wall ◽  
03.65 Ge

In deformation quantization (a.k.a. the Wigner–Weyl–Moyal formulation of quantum mechanics), we consider a single quantum particle moving freely in one dimension, except for the presence of one infinite potential wall. Dias and Prata pointed out that, surprisingly, its stationary-state Wigner function does not obey the naive equation of motion, i.e., the naive stargenvalue (*-genvalue) equation. We review our recent work on this problem that treats the infinite wall as the limit of a Liouville potential. Also included are some new results: (i) we show explicitly that the Wigner-Weyl transform of the usual density matrix is the physical solution, (ii) we prove that an effective-mass treatment of the problem is equivalent to the Liouville one, and (iii) we point out that self-adjointness of the operator Hamiltonian requires a boundary potential, but one apparently different from that proposed by Dias and Prata. PACS Nos.: 03.65.–w, 03.65.Ca, 03.65.Ge

scholarly journals Spatial and temporal structures in cavities with oscillating boundaries

2014 ◽  
Vol 372 (2027) ◽  
pp. 20140012 ◽  
Author(s):  
Nikolay N. Rosanov ◽  
George B. Sochilin ◽  
Vera D. Vinokurova ◽  
Nina V. Vysotina
Keyword(s):  
Quantum Particle ◽  
Optical Solitons ◽  
Nonlinear Structures ◽  
Potential Well ◽  
Single Quantum ◽  
Rabi Oscillations ◽  
One Dimensional ◽  
Temporal Structures ◽  
Bose Einstein ◽  
Classical Particles

We review the general features of particles, waves and solitons in dynamical cavities formed by oscillating cavity mirrors. Considered are the dynamics of classical particles in one-dimensional geometry of a dynamical billiard, taking into account the non-elastic collisions of particles with mirrors, the (quasi-energy) states of a single quantum particle in a potential well with periodically oscillating wells, and nonlinear structures, including nonlinear Rabi oscillations, cavity optical solitons and solitons of Bose–Einstein condensates, in dynamical cavities or traps.

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