<s>
The	O
time-dependent	B-Algorithm
variational	I-Algorithm
Monte	I-Algorithm
Carlo	I-Algorithm
(	O
t-VMC	O
)	O
method	O
is	O
a	O
quantum	O
Monte	O
Carlo	O
approach	O
to	O
study	O
the	O
dynamics	O
of	O
closed	O
,	O
non-relativistic	O
quantum	O
systems	O
in	O
the	O
context	O
of	O
the	O
quantum	B-Algorithm
many-body	I-Algorithm
problem	I-Algorithm
.	O
</s>
<s>
where	O
the	O
complex-valued	O
are	O
time-dependent	O
variational	O
parameters	O
,	O
denotes	O
a	O
many-body	B-Algorithm
configuration	O
and	O
are	O
time-independent	O
operators	O
that	O
define	O
the	O
specific	O
ansatz	O
.	O
</s>
<s>
as	O
a	O
probability	O
distribution	O
function	O
over	O
the	O
multi-dimensional	O
space	O
spanned	O
by	O
the	O
many-body	B-Algorithm
configurations	O
.	O
</s>
<s>
The	O
Metropolis	B-Algorithm
–	I-Algorithm
Hastings	I-Algorithm
algorithm	I-Algorithm
is	O
then	O
used	O
to	O
sample	O
exactly	O
from	O
this	O
probability	O
distribution	O
and	O
,	O
at	O
each	O
time	O
,	O
the	O
quantities	O
entering	O
the	O
equation	O
of	O
motion	O
are	O
evaluated	O
as	O
statistical	O
averages	O
over	O
the	O
sampled	O
configurations	O
.	O
</s>
