1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Quantum breathers in Klein-Gordon lattice: Non-periodic boundary condition approach
Rent:
Rent this article for
USD
10.1063/1.3666013
/content/aip/journal/jap/110/12/10.1063/1.3666013
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/12/10.1063/1.3666013
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Two-phonon bound state (TPBS) of lithium tantalate at α = 420.76, k = 10 for a poling field of 17.0 kV/cm. In the upper branch of the spectra, the quantum breather band is separated from the single-phonon continuum.

Image of FIG. 2.
FIG. 2.

(Color online) For lithium niobate, the temporal evolution spectra for 6 particles on 3 sites with higher value of interaction constant k = 0.9, with the Landau parameter  = 353.42 and , (t re  = 14.27). After initial localization on the first site, the quanta is redistributed on the other sites and the critical time is proportional to QB’s lifetime.

Image of FIG. 3.
FIG. 3.

(Color online) For lithium niobate, the temporal evolution spectra for 6 particles on 3 sites with lower value of interaction constant k = 0.1, with the Landau parameter α = 353.42 and , (t re  = 13.45). Lower level of interaction compared to that shown in Fig. 2 causes the time of redistribution of the number of quanta to be reduced.

Image of FIG. 4.
FIG. 4.

(Color online) Two-phonon bound state (TPBS) of a metamaterial at focusing nonlinearity α = +1, interaction constant  = 0.05, and the linear permittivity ε l  = 0.002. In the upper branch of the spectra, the quantum breather band is also seen separately from the single-phonon continuum.

Image of FIG. 5.
FIG. 5.

(Color online) For metamaterials with SRR assembly in an antenna array, the temporal evolution spectra for 8 particles on 3 sites with , the linear permittivity ε l  = 2, focusing nonlinearity α = +1, and interaction constant in Eq. (13), (t re  = 19.31).

Image of FIG. 6.
FIG. 6.

(Color online) Two-phonon bound state (TPBS) of DNA at a low value of interaction constant k = 0.01.

Image of FIG. 7.
FIG. 7.

(Color online) Two-phonon bound state (TPBS) of DNA at a higher value of interaction constant k = 0.10, clearly showing its effect on phonon bandgap and phonon hopping. The shape of the single-phonon continuum is quite noteworthy between Fig. 6 and Fig. 7, respectively.

Image of FIG. 8.
FIG. 8.

(Color online) For DNA, the temporal evolution spectra for 7 particles on 4 sites with with the parameters’ values as D = 0.04 eV, b = 4.45 , m = 300, and k = 1 in Eq. (16), (t re  = 10.12).

Image of FIG. 9.
FIG. 9.

(Color online) For DNA, the temporal evolution spectra for 11 particles on 4 sites with , with the parameters’ values as D = 0.04 eV, b = 4.45 , m = 300, and k = 1 in Eq. (16), (t re  = 6.55). Higher number of quanta showing lower value of time for redistribution, i.e., the QB’s lifetime is reduced.

Image of FIG. 10.
FIG. 10.

(Color online) For DNA, from various temporal evolution spectra at different values of the number operator, the time of redistribution (t re ) was worked out. This figure clearly shows that, as the number of quanta increases, the QB’s lifetime decreases.

Loading

Article metrics loading...

/content/aip/journal/jap/110/12/10.1063/1.3666013
2011-12-21
2014-04-16
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Quantum breathers in Klein-Gordon lattice: Non-periodic boundary condition approach
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/12/10.1063/1.3666013
10.1063/1.3666013
SEARCH_EXPAND_ITEM