B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

R.G. Scott, A.M. Martin, T.M. Fromholz, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, “Creation of Solitons and Vortices by Bragg Reflection of Bose-Einstein Condensates in an Optical Lattice,” Phys. Rev. Lett. 90110404 (2003).

[CrossRef]
[PubMed]

V.V. Konotop and M. Salerno, “Modulational instability in Bose-Einstein condensates in optical lattices,” Phys. Rev. A 65021602 (2002).

[CrossRef]

L. Salasnich, A. Parola, and L. Reatto, “Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates,” Phys. Rev. A 65043614 (2002).

[CrossRef]

O. Morsch, J. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, “Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices,” Phys. Rev. Lett. 87140402 (2001).

[CrossRef]
[PubMed]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

A. Trombettoni and A. Smerzi, “Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates,” Phys. Rev. Lett. 862353 (2001).

[CrossRef]
[PubMed]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

B.P. Anderson and M.A. Kasevich, “Macroscopic Quantum Interference from Atomic Tunnel Arrays,” Science 2821686 (1998);

[CrossRef]
[PubMed]

C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, Bala Sundaram, and M.G. Raizen, “Observation of atomic tunneling from an accelerating optical potential,” Phys. Rev. A 55R857 (1997)

[CrossRef]

G.P. Agrawal, Applications of Nonlinear Fiber Optics (Academic Press, San Diego, 2001).

G.P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 1995).

B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

B.P. Anderson and M.A. Kasevich, “Macroscopic Quantum Interference from Atomic Tunnel Arrays,” Science 2821686 (1998);

[CrossRef]
[PubMed]

B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

O. Morsch, J. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, “Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices,” Phys. Rev. Lett. 87140402 (2001).

[CrossRef]
[PubMed]

N. Ashcroft and N. Mermin, Solid State Physics (Saunders, Philadelphia, 1976).

C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, Bala Sundaram, and M.G. Raizen, “Observation of atomic tunneling from an accelerating optical potential,” Phys. Rev. A 55R857 (1997)

[CrossRef]

R.G. Scott, A.M. Martin, T.M. Fromholz, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, “Creation of Solitons and Vortices by Bragg Reflection of Bose-Einstein Condensates in an Optical Lattice,” Phys. Rev. Lett. 90110404 (2003).

[CrossRef]
[PubMed]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

O. Morsch, J. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, “Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices,” Phys. Rev. Lett. 87140402 (2001).

[CrossRef]
[PubMed]

O. Morsch, J. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, “Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices,” Phys. Rev. Lett. 87140402 (2001).

[CrossRef]
[PubMed]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

R.G. Scott, A.M. Martin, T.M. Fromholz, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, “Creation of Solitons and Vortices by Bragg Reflection of Bose-Einstein Condensates in an Optical Lattice,” Phys. Rev. Lett. 90110404 (2003).

[CrossRef]
[PubMed]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

B.P. Anderson and M.A. Kasevich, “Macroscopic Quantum Interference from Atomic Tunnel Arrays,” Science 2821686 (1998);

[CrossRef]
[PubMed]

A.A. Sukhorukov, D. Neshev, W. Krolikowski, and Y.S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically-induced lattices,” nlin.PS/0309075.

V.V. Konotop and M. Salerno, “Modulational instability in Bose-Einstein condensates in optical lattices,” Phys. Rev. A 65021602 (2002).

[CrossRef]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

A.A. Sukhorukov, D. Neshev, W. Krolikowski, and Y.S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically-induced lattices,” nlin.PS/0309075.

R.G. Scott, A.M. Martin, T.M. Fromholz, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, “Creation of Solitons and Vortices by Bragg Reflection of Bose-Einstein Condensates in an Optical Lattice,” Phys. Rev. Lett. 90110404 (2003).

[CrossRef]
[PubMed]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, Bala Sundaram, and M.G. Raizen, “Observation of atomic tunneling from an accelerating optical potential,” Phys. Rev. A 55R857 (1997)

[CrossRef]

R.G. Scott, A.M. Martin, T.M. Fromholz, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, “Creation of Solitons and Vortices by Bragg Reflection of Bose-Einstein Condensates in an Optical Lattice,” Phys. Rev. Lett. 90110404 (2003).

[CrossRef]
[PubMed]

B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

N. Ashcroft and N. Mermin, Solid State Physics (Saunders, Philadelphia, 1976).

P. Meystre, Atom Optics (Springer Verlag, New York, 2001) p 205, and references therein.

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, Bala Sundaram, and M.G. Raizen, “Observation of atomic tunneling from an accelerating optical potential,” Phys. Rev. A 55R857 (1997)

[CrossRef]

O. Morsch, J. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, “Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices,” Phys. Rev. Lett. 87140402 (2001).

[CrossRef]
[PubMed]

O. Morsch, J. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, “Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices,” Phys. Rev. Lett. 87140402 (2001).

[CrossRef]
[PubMed]

A.A. Sukhorukov, D. Neshev, W. Krolikowski, and Y.S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically-induced lattices,” nlin.PS/0309075.

B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

L. Salasnich, A. Parola, and L. Reatto, “Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates,” Phys. Rev. A 65043614 (2002).

[CrossRef]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, Bala Sundaram, and M.G. Raizen, “Observation of atomic tunneling from an accelerating optical potential,” Phys. Rev. A 55R857 (1997)

[CrossRef]

L. Salasnich, A. Parola, and L. Reatto, “Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates,” Phys. Rev. A 65043614 (2002).

[CrossRef]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

L. Salasnich, A. Parola, and L. Reatto, “Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates,” Phys. Rev. A 65043614 (2002).

[CrossRef]

V.V. Konotop and M. Salerno, “Modulational instability in Bose-Einstein condensates in optical lattices,” Phys. Rev. A 65021602 (2002).

[CrossRef]

R.G. Scott, A.M. Martin, T.M. Fromholz, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, “Creation of Solitons and Vortices by Bragg Reflection of Bose-Einstein Condensates in an Optical Lattice,” Phys. Rev. Lett. 90110404 (2003).

[CrossRef]
[PubMed]

R.G. Scott, A.M. Martin, T.M. Fromholz, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, “Creation of Solitons and Vortices by Bragg Reflection of Bose-Einstein Condensates in an Optical Lattice,” Phys. Rev. Lett. 90110404 (2003).

[CrossRef]
[PubMed]

A. Trombettoni and A. Smerzi, “Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates,” Phys. Rev. Lett. 862353 (2001).

[CrossRef]
[PubMed]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

M. Steel and W. Zhang, “Bloch function description of a Bose-Einstein condensate in a finite optical lattice,” cond-mat/9810284 (1998).

A.A. Sukhorukov, D. Neshev, W. Krolikowski, and Y.S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically-induced lattices,” nlin.PS/0309075.

C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, Bala Sundaram, and M.G. Raizen, “Observation of atomic tunneling from an accelerating optical potential,” Phys. Rev. A 55R857 (1997)

[CrossRef]

B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

A. Trombettoni and A. Smerzi, “Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates,” Phys. Rev. Lett. 862353 (2001).

[CrossRef]
[PubMed]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, Bala Sundaram, and M.G. Raizen, “Observation of atomic tunneling from an accelerating optical potential,” Phys. Rev. A 55R857 (1997)

[CrossRef]

M. Steel and W. Zhang, “Bloch function description of a Bose-Einstein condensate in a finite optical lattice,” cond-mat/9810284 (1998).

V.V. Konotop and M. Salerno, “Modulational instability in Bose-Einstein condensates in optical lattices,” Phys. Rev. A 65021602 (2002).

[CrossRef]

C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, Bala Sundaram, and M.G. Raizen, “Observation of atomic tunneling from an accelerating optical potential,” Phys. Rev. A 55R857 (1997)

[CrossRef]

L. Salasnich, A. Parola, and L. Reatto, “Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates,” Phys. Rev. A 65043614 (2002).

[CrossRef]

B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M.K. Oberthaler, “Dispersion Management for Atomic Matter Waves,” Phys. Rev. Lett. 91060402 (2003).

[CrossRef]
[PubMed]

M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, “Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction,” Phys. Rev. Lett. 82871 (1999).

[CrossRef]

O. Morsch, J. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, “Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices,” Phys. Rev. Lett. 87140402 (2001).

[CrossRef]
[PubMed]

R.G. Scott, A.M. Martin, T.M. Fromholz, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, “Creation of Solitons and Vortices by Bragg Reflection of Bose-Einstein Condensates in an Optical Lattice,” Phys. Rev. Lett. 90110404 (2003).

[CrossRef]
[PubMed]

A. Trombettoni and A. Smerzi, “Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates,” Phys. Rev. Lett. 862353 (2001).

[CrossRef]
[PubMed]

F.S. Cataliotti, S. Burger, S. C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Ingusio, “Josephson Junction Arrays with Bose-Einstein Condensates”, Science 293843 (2001).

[CrossRef]
[PubMed]

B.P. Anderson and M.A. Kasevich, “Macroscopic Quantum Interference from Atomic Tunnel Arrays,” Science 2821686 (1998);

[CrossRef]
[PubMed]

G.P. Agrawal, Applications of Nonlinear Fiber Optics (Academic Press, San Diego, 2001).

G.P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 1995).

“Bose-Einstein condensation in atomic gases,” ed. by M. Inguscio, S. Stringari, and C. Wieman, (IOS Press, Amsterdam1999)

N. Ashcroft and N. Mermin, Solid State Physics (Saunders, Philadelphia, 1976).

A.A. Sukhorukov, D. Neshev, W. Krolikowski, and Y.S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically-induced lattices,” nlin.PS/0309075.

M. Steel and W. Zhang, “Bloch function description of a Bose-Einstein condensate in a finite optical lattice,” cond-mat/9810284 (1998).

P. Meystre, Atom Optics (Springer Verlag, New York, 2001) p 205, and references therein.

The experimental realization in our group will be published elsewhere.