Wigner quantum mechanics is reformulated in a discrete momentum space and analyzed within a Monte Carlo approach for solving integral equations and thus associated with a particle picture. General quantum phenomena may thereby be modeled in terms of quasi-particles involving attributes such as drift, generation, sign, and annihilation on a phase space grid. The model is examined in an ultimate regime, where classical and quantum dynamics become equivalent. The peculiarities of the transport in this asymptotic regime are analyzed within simulations, benchmarking the behavior of the Wigner function.

1.
M.
Nedjalkov
,
S.
Selberherr
,
D. K.
Ferry
,
D.
Vasileska
,
P.
Dollfus
,
D.
Querlioz
,
I.
Dimov
, and
P.
Schwaha
,
Ann. Phys.
328
,
220
237
(
2013
).
2.
V. I.
Tatarskii
,
Sov. Phys. Usp.
26
,
311
327
(
1983
).
3.
N. C.
Dias
and
J. N.
Prata
,
Ann. Phys.
313
,
110
146
(
2004
).
4.
K. L.
Jensen
and
F. A.
Buot
,
Appl. Phys. Lett.
55
,
669
671
(
1989
) and the references therein.
5.
J.
Garcia-Garcia
,
F.
Martin
,
X.
Oriols
, and
J.
Sune
,
Appl. Phys. Lett.
73
,
3539
3541
(
1998
).
6.
J.
Garcia-Garcia
and
F.
Martin
,
Appl. Phys. Lett.
77
,
3412
3514
(
2000
).
7.
W. R.
Frensley
,
Rev. Mod. Phys.
62
,
745
789
(
1990
).
8.
N. C.
Kluksdahl
,
A. M.
Kriman
,
D. K.
Ferry
, and
C.
Ringhofer
,
Phys. Rev. B
39
,
7720
7734
(
1989
).
9.
D.
Querlioz
and
P.
Dollfus
,
The Wigner Monte Carlo Method for Nanoelectronic Devices
(
ISTE-Wiley
,
2010
).
10.
M.
Nedjalkov
,
H.
Kosina
,
S.
Selberherr
,
C.
Ringhofer
, and
D. K.
Ferry
,
Phys. Rev. B
70
,
115319
(
2004
).
11.
M.
Nedjalkov
and
D.
Vasileska
,
J. Comput. Electron.
7
,
222
225
(
2008
).
12.
F.
Rossi
,
A.
Di Carlo
, and
P.
Lugli
,
Phys. Rev. Lett.
80
,
3348
3351
(
1998
).
13.
G.
Ferrari
,
P.
Bordone
, and
C.
Jacoboni
,
Phys. Lett. A
356
,
371
375
(
2006
).
14.
T.
Goudon
,
SIAM J. Numer. Anal.
40
,
2007
2025
(
2002
).
15.
G.
Zandler
,
A.
Di Carlo
,
K.
Krometer
,
P.
Lugli
,
P.
Vogl
, and
E.
Gornik
,
IEEE Electron Device Lett.
14
,
77
79
(
1993
).
You do not currently have access to this content.