• Aucun résultat trouvé

Fluctuation properties and effective temperature of strongly interacting 1d bosons after a quench

N/A
N/A
Protected

Academic year: 2021

Partager "Fluctuation properties and effective temperature of strongly interacting 1d bosons after a quench"

Copied!
1
0
0

Texte intégral

(1)

llli

l::r

ilt

€B g g g E p E I

:

3,= e

;

.s § r'

I

Ë ,§_ 3§

fi

§ § 8 e 3 3 e § s -Ù E' èô' ès !§ :3 i§ g § + E 'r" E = a:'.€ :_ll-j

lt-.:

L.l ?l-q*

:§;

I

,EÊ jj§ ,-.1- E

ri

:"}

E e

f

;

.

o! o

É

s

qt Èit

EE

;

E

:§=Fë

i

ë:

i -: èP

= 3 E : ! i

t--,-. 9:5 ; .E F

i-t.J-

È

r

-P

,:- â i

r-r

I i:-a *'!:?

::§_g--e6j + È-: E c \

t E 3

+ È-:9r :-ë:â-':à=.i l,^J - g:--. F i E ,', e

l1^ë:

E

3

?-.8

I

3

- g É; P p

5

.'

Ë

-="

Ë

s

"

a

;

H"

*;

!

:r-

iE

!

P

§

\

f_ Ë

à-s

E

g Ë

E

s5

P

s

:

t"

LE lÈÈ ÈÈ

è:

3ô 3F,,

!

ôs ^.çà E--È È38 ;.s e ix"à :

!5-rtÈ

iÈ*

!; i-§ .§l s§' È.s .g_ E È e § 3 à s" e" -9 § i § a § I .'j !ê §è *"* E s, Ê,8 p Ël ! 9.s r à§ i _à.§ lÈÈ ,..È

i*

OP .sE ȧ §=à

ës,

è-è:-§àè §e s. è9è ô$Êl

i

Ë* r r F-"1 tsÈ!

:s3à

r§€§ i Ee

I

,àË à .so§ .§

È-i

i

§ Ë3 §^s:. §E§

§s

:s

-3

ȧ .03 .q*.

;Ei

i3î

aÈ ê ?*: , -6§ '§-i LllÈ -§g §È §è

Ss t

餤

;i,;

:3s

§§;

§'§"ô:

(rÈr

îôÈl

,'6!i

igè

i iô 3t ;ÈÈ'Ë oèE Qcô Èè3

IÈe

bg§ s\l{

}

§;§

;s§

§!€ Às à3

§;

§§ È-È :.5 È--§È § È. Ë{l

i

g

j

ü§i i,:§ :{p 8: sÈ EE ÈÈ Èè :9È', ÈE

è§i

ÈÈ!

.3:

i-ȧ ȧ Eè Pà; ôF '§"È ëÈ §so !Et r

8i

is§

ËÈ .§t '§Ê Ès Ee ÈË -se i ss"

§x-È;.

I

e. 3

!i

9s-r Èl à àti ss i

§s{

ts

È §§È

!s

È

ïs§

.s E r§§ ÈÉ §Ë §§ è§

s;

**s §s Èe

ü{

.=E s!5i 3-ùr sÊl §È; ir in ! r.E ê !§. r§§ ,.s S t-§

Èr

T*

3-. E§r .Ëa sô .§ .È

si

SS È-È §È

§§l

) ô{

;..i

i.sI

ic

Ë

i§è

às .§ ="j Eg \R

tt

t!

t*

J .:-t-..

ls

l!

lxl

lusi IàI lp"!

l§i

IE!

i's

§s'

3s

Eg §§

o

È.

(E

o

J

lJ.

E ËÈ* PEü 3: .s -hP

!E;

ip=' E= Ë9

;i

)

i;

eE 1=

ie

ifr;

iE: :!

gf

Ë9 e=

s{

i.o e g"t . g'ù 59 è il

gà;

,!; à'5 !.e !P' 9E'e PËO

;Tg

;ôg {o I iËE ôE E §i 'Èî ! a6E ;_È ! à Px ü=6= EeE àE è" ; àÉ tEi ëàô i &g, Ëo: E5-È 6-9

É;.

::6 è9 ,!: :P

à

e I 3J

t;

It

lei

IE lEr lq: l-c, l::

lÊi

l=e

!€

_-6

;;

!

3 t _r,j §È §§ c.ô §9 e§ §È dÊ

,'

;t

u; È{

ù!

-:s i* oÈ ü,3 E5 È s e ê P 3 I § ô s § §tr-ÈÈ +È

:

I

§ ô ë * à 3 È è ô 9 È È 3 -É ! l

:

è g, 9: i!

>g

:r"

E5 ;

E =6 :Ë .: !-:

\; :

e

= e

:3

E 9E à !è iÊ É E § I e È èÈ

:3

E; ..! 3.§

Èe' i! .§-t-_ e" -ls' ! §

LL-39

l,

:1

9p

az

:UJ 'fti lo t-q

i<

o

-l ,uJ

§

§

E Ê

p

ul o g 'Ê l o o ll,

É

UJ

o

J

o

o

o

É, G .T

o

UT

=

{.

trl

<,1

5L

OT

N:

à

o)

tr

o

L

+.

o

rF

o

l!--t*§

9s

=o

(E(l)

L-gÉ

tr(E

gE

EO

oc

oo

:= (,

oo

E§i

trt,:

(Er:

(a

cD!

.Otru

F.E

À

oo

L.h'

CLtr

N]

-,ii;il;li!liiliiii.

â

-r*r'

Ë

ffi:§

M.9,È

§gi/;

;

t-=-r

!

i-

t,

!

r

L--,

i:

§ * È s

..

Êi

I - I'':

IF

IE

Ip

t;

t;

t:

§ E 6 ô g g E I

t:

l9 .9 € Ê

Références

Documents relatifs

Contrary to the previously discussed case, for the symmet- ric zigzag model (δ = 1), the dispersion relation is doubly degenerate for every −t 2 &gt; 1/4. For completeness, we

In the end of the chapter we apply the AFMC method supplemented with the cQMF approximation to the study of the thermodynamics of hard-core bosons both on a square lattice 

Quench-injected

On the other hand if X falls in the neighborhood of a positive minimum of F while U &gt; 0 (the case of a negative maximum with U &lt; 0 being symmetric) then, as long as it

Importantly, thermodynamic affinities only depend on the latter: the transformation of one particular affinity d A α , at fixed values of all other affinities, only involves: (A0.i)

To discuss the stability and determine the propagation speed of dark energy perturbations, one must also include quadratic terms that come from the matter action, because the

4: (Color online) Normalized cloud radius R TF /R ∗ (filled purple circles) and normalized atom number (open black squares) as a function of the inverse scattering length a ho /a at

Assuming weak disorder and rare particle collisions, we have derived coupled kinetic equations for the two main physical processes at work in this regime, particle diffusion