scholarly journals Engineering statistical transmutation of identical quantum particles

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Simone Barbarino ◽  
Rosario Fazio ◽  
Vlatko Vedral ◽  
Yuval Gefen
Keyword(s):  
Quantum Particles ◽  
Identical Quantum

scholarly journals Time evolution of decay of two identical quantum particles

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
Gastón García-Calderón ◽  
Luis Guillermo Mendoza-Luna
Keyword(s):  
Time Evolution ◽  
Quantum Particles ◽  
Identical Quantum

scholarly journals Identical Quantum Particles and Weak Discernibility

2008 ◽  
Vol 38 (10) ◽  
pp. 923-934 ◽  
Author(s):  
Dennis Dieks ◽  
Marijn A. M. Versteegh
Keyword(s):  
Quantum Particles ◽  
Identical Quantum

scholarly journals Two-boson quantum interference in time

2020 ◽  
Vol 117 (52) ◽  
pp. 33107-33116
Author(s):  
Nicolas J. Cerf ◽  
Michael G. Jabbour
Keyword(s):  
Time Reversal ◽  
Quantum Interference ◽  
Quantum Physics ◽  
Beam Splitter ◽  
Underlying Mechanism ◽  
Pauli Principle ◽  
Quantum Particles ◽  
Identical Quantum ◽  
Quantum Amplifier ◽  
Fundamental Mechanism

The celebrated Hong–Ou–Mandel effect is the paradigm of two-particle quantum interference. It has its roots in the symmetry of identical quantum particles, as dictated by the Pauli principle. Two identical bosons impinging on a beam splitter (of transmittance 1/2) cannot be detected in coincidence at both output ports, as confirmed in numerous experiments with light or even matter. Here, we establish that partial time reversal transforms the beam splitter linear coupling into amplification. We infer from this duality the existence of an unsuspected two-boson interferometric effect in a quantum amplifier (of gain 2) and identify the underlying mechanism as time-like indistinguishability. This fundamental mechanism is generic to any bosonic Bogoliubov transformation, so we anticipate wide implications in quantum physics.

ISOTHERMAL QUANTUM DYNAMICS: NOSÉ–HOOVER DYNAMICS FOR COHERENT STATES

2003 ◽  
Vol 17 (28) ◽  
pp. 5449-5452 ◽  
Author(s):  
D. MENTRUP ◽  
J. SCHNACK
Keyword(s):  
Time Evolution ◽  
Coherent States ◽  
Quantum Dynamics ◽  
Canonical Ensemble ◽  
Equations Of Motion ◽  
Thermal Bath ◽  
Time Averaging ◽  
Quantum Particles ◽  
Dynamics Simulations ◽  
Identical Quantum

The method of Nosé and Hoover1,2 to create canonically distributed positions and momenta in classical molecular dynamics simulations is frequently used. Hamilton's equations of motion are supplemented by time-dependent pseudofriction terms that convert the microcanonical isoenergetic time evolution into a canonical isothermal time evolution, thus permitting the calculation of canonical ensemble averages by time averaging. We show that for one quantum particle in an external harmonic oscillator, the equations of motion in terms of coherent states can easily be modified in an analogous manner to mimic the coupling of the system to a thermal bath and create a quantum canonical ensemble.3 The method is generalised to a system of two identical quantum particles. In the resulting equations of motion, one obtains an additional attractive term for bosons and a repulsive term for fermions in the dynamics of the pseudofriction coefficients, leading to a correctly sampled thermal weight.

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