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J. A. Stickney, D. Z. Anderson, and A. A. Zozulya, “Transistorlike behavior of a Bose-Einstein condensate in a triple-well potential,” Phys. Rev. A 75, 013608 (2007).

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[CrossRef]
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[CrossRef]
[PubMed]

I. Bloch, “Ultracold quantum gases in optical lattices,” Nature Phys. 1, 23–30 (2005).

[CrossRef]

M. Greiner, O. Mandel, T. Esslinger, T W. Hänsch, and I. Bloch, “Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms,” Nature(London) 415, 39–44 (2002).

[CrossRef]

K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, “Experimental demonstration of painting arbitrary and dynamic potentials for BoseEinstein condensates,” New J. Phys. 11, 043030 (2009).

[CrossRef]

C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, “Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions,” Phys. Rev. Lett. 75, 1687–1690 (1995).

[CrossRef]
[PubMed]

C. J. Bradly, M. Rab, A. D. Greentree, and A. M. Martin, “Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system,” Phys. Rev. A. 85, 053609 (2012).

[CrossRef]

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[CrossRef]

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[CrossRef]

P. Buonsante, R. Franzosi, and V. Penna, “Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates,” J. Phys. A. 42, 285307 (2009).

[CrossRef]

P. Buonsante, R. Franzosi, and V. Penna, “Persistence of mean-field features in the energy spectrum of small arrays of BoseEinstein condensates,” J. Phys. B. 37, 229–238 (2004).

[CrossRef]

P. Buonsante, R. Franzosi, and V. Penna, “Dynamical Instability in a Trimeric Chain of Interacting Bose-Einstein Condensates,” Phy. Rev. Lett. 90, 050404 (2003).

[CrossRef]

H. Hennig, J. Dorignac, and D. K. Campbell, “Transfer of Bose-Einstein condensates through discrete breathers in an optical lattice,” Phys. Rev. A. 82, 053604 (2010).

[CrossRef]

L. Cao, I. Brouzos, S. Zllner, and P. Schmelcher, “Interaction-driven interband tunneling of bosons in the triple well,” New J. Phys. 13, 033032 (2011).

[CrossRef]

A. Sinatra, Y. Castin, and Y. Li, “Particle number fluctuations in a cloven trapped Bose gas at finite temperature,” Phys. Rev. A 81, 053623 (2010).

[CrossRef]

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).

[CrossRef]

Y. A. Chen, S. D. Huber, S. Trotzky, I. Bloch, and E. Altman, “Many-body LandauZener dynamics in coupled one-dimensional Bose liquid,” Nature Phys. 7, 61–67 (2011).

[CrossRef]

C. Kasztelan, S. Trotzky, Y.A. Chen, I. Bloch, I. P. McCulloch, U. Schollwock, and G. Orso, “Landau-Zener Sweeps and Sudden Quenches in Coupled Bose-Hubbard Chains,” Phys. Rev. Lett. 106, 155302 (2011).

[CrossRef]
[PubMed]

Z. Chen and B. Wu, “Bose-Einstein condensate in a honeycomb optical lattice: fingerprint of superfluidity at the dirac point,” Phys. Rev. Lett. 107, 065301 (2011).

[CrossRef]
[PubMed]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Cold Bosonic Atoms in Optical Lattices, ” Phys. Rev. Lett. 81, 3108–3111 (1998).

[CrossRef]

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, “Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate,” Phys. Rev. Lett. 86, 2926–2929 (2001).

[CrossRef]
[PubMed]

M. J. Steel and M. J. Collett, “Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling,” Phys. Rev. A. 57, 2920–2930 (1998).

[CrossRef]

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, “Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate,” Phys. Rev. Lett. 86, 2926–2929 (2001).

[CrossRef]
[PubMed]

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, “Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate,” Phys. Rev. Lett. 86, 2926–2929 (2001).

[CrossRef]
[PubMed]

M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, “Observation of Bose-Einstein condensation in a dilute atomic vapor,” Science 269, 198–201 (1995).

[CrossRef]
[PubMed]

G. J. Milburn, J. Corney, E. M. Wright, and D. F. Walls, “Quantum dynamics of an atomic Bose-Einstein condensate in a double-well potential,” Phys. Rev. A 554318–4324 (1997).

[CrossRef]

M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, “Direct observation of tunneling and nonlinear self-trapping in a single Bosonic Josephson junction,” Phys. Rev. Lett. 95, 010402 (2005).

[CrossRef]
[PubMed]

L. Dell Anna, G. Mazzarella, V. Penna, and L. Salasnich, “Entanglement entropy and macroscopic quantum states with dipolar bosons in a triple-well potential,” Phys. Rev. A 87, 053620 (2013).

[CrossRef]

L.M. Duan, E. Demler, and M. D. Lukin, “Controlling spin exchange interactions of ultracold atoms in optical lattices,” Phys. Rev. Lett. 91, 090402 (2003).

[CrossRef]
[PubMed]

C.L Pando L. and E. J. Doedel, “1/f noise in a thin stochastic layer described by the discrete nonlinear Schrdinger equation,” Phys. Rev. E 75, 016213 (2007).

[CrossRef]

H. Hennig, J. Dorignac, and D. K. Campbell, “Transfer of Bose-Einstein condensates through discrete breathers in an optical lattice,” Phys. Rev. A. 82, 053604 (2010).

[CrossRef]

A. Szameit, Y. V. Kartashov, M. Heinrich, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Nonlinearity-induced broadening of resonances in dynamically modulated couplers,” Opt. Lett. 34, 2700–2702 (2009).

[CrossRef]
[PubMed]

L.M. Duan, E. Demler, and M. D. Lukin, “Controlling spin exchange interactions of ultracold atoms in optical lattices,” Phys. Rev. Lett. 91, 090402 (2003).

[CrossRef]
[PubMed]

Xin Jiang, Li-Bin Fu, Wen-shan Duan, and Jie Liu, “Phase transition of the ground state for two-component BoseEinstein condensates in a triple-well trap,” Journal of Phys. B, 44, 115301 (2011).

[CrossRef]

M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, “Observation of Bose-Einstein condensation in a dilute atomic vapor,” Science 269, 198–201 (1995).

[CrossRef]
[PubMed]

M. Greiner, O. Mandel, T. Esslinger, T W. Hänsch, and I. Bloch, “Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms,” Nature(London) 415, 39–44 (2002).

[CrossRef]

A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, “Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates,” Phys. Rev. Lett. 79, 4950–4953 (1997).

[CrossRef]

B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, “Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate,” Phys. Rev. Lett. 86, 2926–2929 (2001).

[CrossRef]
[PubMed]

S. Aubry, S. Flach, K. Kladko, and E. Olbrich, “Manifestation of classical Bifurcation in the spectrum of the integrable quantum dimer,” Phys. Rev. Lett. 76, 1607–1610 (1996).

[CrossRef]
[PubMed]

M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, “Direct observation of tunneling and nonlinear self-trapping in a single Bosonic Josephson junction,” Phys. Rev. Lett. 95, 010402 (2005).

[CrossRef]
[PubMed]

P. Buonsante, R. Franzosi, and V. Penna, “Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates,” J. Phys. A. 42, 285307 (2009).

[CrossRef]

P. Buonsante, R. Franzosi, and V. Penna, “Persistence of mean-field features in the energy spectrum of small arrays of BoseEinstein condensates,” J. Phys. B. 37, 229–238 (2004).

[CrossRef]

P. Buonsante, R. Franzosi, and V. Penna, “Dynamical Instability in a Trimeric Chain of Interacting Bose-Einstein Condensates,” Phy. Rev. Lett. 90, 050404 (2003).

[CrossRef]

R. Franzosi and V. Penna, “Chaotic behavior, collective modes, and self-trapping in the dynamics of three coupled Bose-Einstein condensates,” Phys. Rev. E. 67, 046227 (2003).

[CrossRef]

R. Franzosi and V. Penna, “Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates,” Phys. Rev. A. 65, 013601 (2001).

[CrossRef]

R. Franzosi, V. Penna, and R. Zecchina, “Quantum dynamics of coupled bosonic wells within the Bose-Hubbard picture,” Mod. Phys. B 14, 943–961 (2000).

[CrossRef]

B. Liu, L. B. Fu, S. P. Yang, and J. Liu, “Josephson oscillation and transition to self-trapping for Bose-Einstein condensates in a triple-well trap,” Phys. Rev. A. 75, 033601 (2007).

[CrossRef]

Xin Jiang, Li-Bin Fu, Wen-shan Duan, and Jie Liu, “Phase transition of the ground state for two-component BoseEinstein condensates in a triple-well trap,” Journal of Phys. B, 44, 115301 (2011).

[CrossRef]

T. F. Viscondi and K. Furuya, “Dynamics of a BoseEinstein condensate in a symmetric triple-well trap,” J. Phys. A. 44, 175301 (2011).

[CrossRef]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Cold Bosonic Atoms in Optical Lattices, ” Phys. Rev. Lett. 81, 3108–3111 (1998).

[CrossRef]

Q. Thommen, J. C. Garreau, and V. Zehnle, “Classical chaos with Bose-Einstein condensates in tilted optical lattices,” Phys. Rev. Lett. 91, 210405 (2003).

[CrossRef]
[PubMed]

M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, “Direct observation of tunneling and nonlinear self-trapping in a single Bosonic Josephson junction,” Phys. Rev. Lett. 95, 010402 (2005).

[CrossRef]
[PubMed]

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).

[CrossRef]

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