Emergent timescales in entangled quantum dynamics of ultracold molecules in optical lattices

New Journal of Physics

Volumn 11, Issue , 2009, Pages

  Wall, M L ^a   Carr, L D ^a  

^a Department of Geology and Geological Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONIC MOLECULES; CLOSED SHELLS; CRYSTALLINE ORDER; HALF-FILLING; HETERONUCLEAR MOLECULES; HUBBARD HAMILTONIAN; LATTICE HAMILTONIANS; MANY-BODY; NON-MONOTONIC FUNCTION; ONE DIMENSIONAL OPTICAL LATTICE; OPTICAL LATTICES; PHYSICAL PARAMETERS; QUANTUM DYNAMICS; QUANTUM PHASE TRANSITIONS; ROTATIONAL STATE; SPATIAL ENTANGLEMENT; TIME DEPENDENT; TIME-SCALES; ULTRA-COLD; ULTRACOLD MOLECULES;

CRYSTAL LATTICES; DYNAMICS; HAMILTONIANS; MEATS; MOLECULES; OPTICAL MATERIALS; QUANTUM THEORY;

PHASE TRANSITIONS;

EID: 67549124861     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/11/5/055027     Document Type: Article

References (51)

1. Feynman R P 1982 Simulating physics with computers Int. J. Theor. Phys. 21 467
2. Lewenstein M, Sanpera A, Ahufinger V, Damski B, Sen A and Sen U 2007 Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond Adv. Phys. 56 243
3. de Miranda MHG, Peer A, Neyenhuis B, Zirbel J J, Kotochigova S, Julienne P S, Jin D S, Ni K-K, Ospelkaus S and Ye J 2008 A high phase-space-density gas of polar molecules Science 322 231
4. Lang F, Winkler K, Strauss C, Grimm R and Hecker Denschlag J 2008 Ultracold triplet molecules in the ro-vibrational ground state Phys. Rev. Lett. 101 133005
5. Brennen G K, Micheli A and Zoller P 2007 Designing spin-1 lattice models using polar molecules New J. Phys. 9 138
6. Büchler H P, Demier E, Lukin M, Micheli A, Prokof′ev N, Pupillo G and Zoller P 2007 Strongly correlated 2d quantum phases with cold polar molecules: controlling the shape of the interaction potential Phys. Rev. Lett. 98 060404
7. DeMille D 2002 Quantum computation with trapped polar molecules Phys. Rev. Lett. 88 067901
8. Goral K, Santos L and Lewenstein M 2002 Quantum phases of dipolar bosons in optical lattices Phys. Rev. Lett. 88 170406
9. Pupillo G, Micheli A, Buchler H P and Zoller P 2008 Condensed matter physics with cold polar molecules Cold Molecules: Creation and Applications ed R V Krems, B Friedrich and W C Stwalley (London: Taylor and Francis)
10. Danzl J G, Mark M J, Haller E, Gustavsson M, Hart R, Liem A, Zellmer H and Nägerl H-C 2009 Deeply bound ultracold molecules in an optical lattice New J. Phys. 11 055036
11. Kühner T D, White S R and Monien H 2000 One-dimensional Bose-Hubbard model with nearest-neighbor interaction Phys. Rev. B 61 12474
12. Dickerscheid D B M, Kawaguchi Y and Ueda M 2008 Heteronuclear fermionic superfluids with spin degrees of freedom Phys. Rev. A 77 053605
13. Higbie J M, Sadler L E, Inouye S, Chikkatur A P, Leslie S R, Moore K L, Savalli V and Stamper-Kurn D M 2005 Direct nondestructive imaging of magnetization in a spin-1 Bose-Einstein gas Phys. Rev. Lett. 95 050401
14. Vidal G 2003 Efficient classical simulation of slightly entangled quantum computations Phys. Rev. Lett. 91 147902
15. Vidal G 2004 Efficient simulation of one-dimensional quantum many-body systems Phys. Rev. Lett. 93 040502
16. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
17. Wenger T, Kinoshita T and Weiss D S 2006 A quantum Newton's cradle Nature 440 900
18. Polkovnikov A, Sachdev S and Girvin S M 2002 Nonequilibrium Gross-Pitaevskii dynamics of boson lattice models Phys. Rev. A 66 053607
19. Altman E, Polkovnikov A, Demier E, Halperin B and Lukin M D 2005 Superfluid-insulator transition in a moving system of interacting bosons Phys. Rev. Lett. 95 020402
20. Manmana S R, Wessel S, Noack R M and Muramatsu A 2007 Strongly correlated fermions after a quantum quench Phys. Rev. Lett. 98 210405
21. Kollath C, Lauchli A M and Altman E 2007 Quench dynamics and nonequilibrium phase diagram of the Bose-Hubbard model Phys. Rev. Lett. 98 180601
22. Läuchli A and Kollath C 2008 Spreading of correlations and entanglement after a quench in the Onedimensional Bose-Hubbard model J. Stat. Mech. P05018
23. Verdozzi C 2008 Time-dependent density-functional theory and strongly correlated systems: insight from numerical studies Phys. Rev. Lett. 101 166401
24. Mishmash R V and Carr L D 2008 Ultracold atoms in ID optical lattices: mean field, quantum field, computation, and soliton formation Math. Comput. Simul. at press (arXiv:0810.2593)
25. Brown J and Carrington A 2003 Rotational Spectroscopy of Diatomic Molecules (Cambridge: Cambridge University Press)
26. Lewenstein A, Sanpera M, Ahufinger V, Damski B, Sen De A and Sen U 2007 Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond Adv. Phys. 56 243
27. Baranov M A 2008 Theoretical progress in many-body physics with ultracold dipolar gases Phys. Rep. 464 71
28. Micheli A, Pupillo G, Büchler H P and Zoller P 2007 Cold polar molecules in two-dimensional traps: tailoring interactions with external fields for novel quantum phases Phys. Rev. A 76 043604
29. Zare R 1988 Angular Momentum: Understanding Spatial Aspects in Chemistry and Physics (New York: Wiley)
30. Rey A M 2004 Ultracold bosonic atoms in optical lattices PhD Thesis University of Maryland at College Park
31. Deiglmayr J, Aymar M, Wester R, Weidemüller M and Dulieu O 2008 Calculations of static dipóle polarizabilities of alkali dimers: prospects for alignment of ultracold molecules J. Chem. Phys. 129 064309
32. Jaksch D, Bruder C, Cirac J I, Gardiner C W and Zoller P 1998 Cold bosonic atoms in optical lattices Phys. Rev. Lett. 813108
33. Sachdev S 1999 Quantum Phase Transitions (Cambridge: Cambridge University Press)
34. Fisher MPA, Weichman P B, Grinstein G and Fisher D S 1989 Boson localization and the superfluid-insulator transition Phys. Rev. B 40 546
35. White S R 1992 Density matrix formulation for quantum renormalization groups Phys. Rev. Lett. 69 2863
36. Suzuki M 1990 Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations Phys. Lett. A 146 319
37. Daley A J 2005 Manipulation and simulation of cold atoms in optical lattices PhD Thesis Leopold-Franzens-Universitat Innsbruck
38. Daley A J, Kollath C, Schollwock U and Vidal G 2004 Time-dependent density-matrix renormalization-group using adaptive effective Hubert spaces J. Stat. Mech. P04005
39. Brennen G K 2003 An observable measure of entanglement for pure states of multi-qubit systems Quantum Inf. Comput. 3 619
40. Barnum H, Knill E, Ortiz G and Viola L 2003 Generalizations of entanglement based on coherent states and convex sets Phys. Rev. A 68 032308
41. Barnum H, Knill E, Ortiz G, Somma R and Viola L 2004 A subsystem-independent generalization of entanglement Phys. Rev. Lett. 92 107902
42. Ashcroft N and Mermin D 1976 Solid State Physics (Orlando: Saunders College Publishing)
43. Gobert D, Kollath C, Schollwock U and Schütz G 2005 Real-time dynamics in spin-(l/2) chains with adaptive time-dependent density matrix renormalization group Phys. Rev. E 71 036102
44. Kevorkian J K and Cole J D 1996 Multiple Scale and Singular Perturbation Methods (Berlin: Springer)
45. Nayfeh A H 2000 Perturbation Methods 1st edn (New York: Wiley-Interscience)
46. Jin D 2008 JILA, NIST and University of Colorado, private communication
47. Van Vleck J H 1951 The coupling of angular momentum vectors in molecules Rev. Mod. Phys. 23 213-27
48. NIST Diatomic Spectral Database 2008 htt:p://physics.nist.gov/ physrefdata/molspec/diatomic/
49. Stapelfeldt H and Seideman T 2003 Colloquium: aligning molecules with strong laser pulses Rev. Mod. Phys. 75 543
50. Friedrich B and Herschbach D 1995 Alignment and trapping of molecules in intense laser fields Phys. Rev. Lett. 74 4623
51. 1Σ state molecules in an electrostatic field Phys. Rev. A 73 022707