Autonomous quantum thermal machine for generating steady-state entanglement. (English) Zbl 1452.81030
Summary: We discuss a simple quantum thermal machine for the generation of steady-state entanglement between two interacting qubits. The machine is autonomous in the sense that it uses only incoherent interactions with thermal baths, but no source of coherence or external control. By weakly coupling the qubits to thermal baths at different temperatures, inducing a heat current through the system, steady-state entanglement is generated far from thermal equilibrium. Finally, we discuss two possible implementations, using superconducting flux qubits or a semiconductor double quantum dot. Experimental prospects for steady-state entanglement are promising in both systems.
MSC:
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81Q37 | Quantum dots, waveguides, ratchets, etc. |
References:
| [1] | Plenio M B, Huelga S F, Beige A and Knight P L 1999 Phys. Rev. A 59 2468-75 · doi:10.1103/PhysRevA.59.2468 |
| [2] | Kim M S, Lee J, Ahn D and Knight P L 2002 Phys. Rev. A 65 040101 · doi:10.1103/PhysRevA.65.040101 |
| [3] | Jakbczyk L 2002 J. Phys. A: Math. Gen.35 6383 · Zbl 1066.81514 · doi:10.1088/0305-4470/35/30/313 |
| [4] | Braun D 2002 Phys. Rev. Lett.89 277901 · doi:10.1103/PhysRevLett.89.277901 |
| [5] | Benatti F, Floreanini R and Piani M 2003 Phys. Rev. Lett.91 070402 · doi:10.1103/PhysRevLett.91.070402 |
| [6] | Burgarth D and Giovannetti V 2007 Phys. Rev. A 76 062307 · doi:10.1103/PhysRevA.76.062307 |
| [7] | Bellomo B, Lo Franco R, Maniscalco S and Compagno G 2008 Phys. Rev. A 78 060302 · doi:10.1103/PhysRevA.78.060302 |
| [8] | Diehl S, Micheli A, Kantian A, Kraus B, Buchler H P and Zoller P 2008 Nat. Phys.4 878-83 · doi:10.1038/nphys1073 |
| [9] | Verstraete F, Wolf M M and Ignacio Cirac J 2009 Nat. Phys.5 633-6 · doi:10.1038/nphys1342 |
| [10] | Kraus B, Büchler H P, Diehl S, Kantian A, Micheli A and Zoller P 2008 Phys. Rev. A 78 042307 · doi:10.1103/PhysRevA.78.042307 |
| [11] | Ticozzi F and Viola L 2014 Quantum Inf. Comput.14 0265 |
| [12] | Schneider S and Milburn G J 2002 Phys. Rev. A 65 042107 · doi:10.1103/PhysRevA.65.042107 |
| [13] | Kastoryano M J, Reiter F and Sørensen A S 2011 Phys. Rev. Lett.106 090502 · doi:10.1103/PhysRevLett.106.090502 |
| [14] | Wang X and Schirmer S G 2010 arXiv:1005.2114 |
| [15] | Reiter F, Tornberg L, Johansson G and Sørensen A S 2013 Phys. Rev. A 88 032317 · doi:10.1103/PhysRevA.88.032317 |
| [16] | Schuetz M J A, Kessler E M, Vandersypen L M K, Cirac J I and Giedke G 2013 Phys. Rev. Lett.111 246802 · doi:10.1103/PhysRevLett.111.246802 |
| [17] | Cai J, Popescu S and Briegel H J 2010 Phys. Rev. E 82 021921 · doi:10.1103/PhysRevE.82.021921 |
| [18] | Walter S, Budich J C, Eisert J and Trauzettel B 2013 Phys. Rev. B 88 035441 · doi:10.1103/PhysRevB.88.035441 |
| [19] | Krauter H et al 2011 Phys. Rev. Lett.107 080503 · doi:10.1103/PhysRevLett.107.080503 |
| [20] | Barreiro J T et al 2011 Nature470 486-91 · doi:10.1038/nature09801 |
| [21] | Lin Y et al 2013 Nature504 415-8 · doi:10.1038/nature12801 |
| [22] | Shankar S et al 2013 Nature504 419-22 · doi:10.1038/nature12802 |
| [23] | Vacanti G and Beige A 2009 New J. Phys.11 083008 · doi:10.1088/1367-2630/11/8/083008 |
| [24] | Reiter F, Kastoryano M J and Sørensen A S 2012 New J. Phys.14 053022 · doi:10.1088/1367-2630/14/5/053022 |
| [25] | Aron C, Kulkarni M and Türeci H E 2014 Phys. Rev. A 90 062305 · doi:10.1103/PhysRevA.90.062305 |
| [26] | Plenio M B and Huelga S F 2002 Phys. Rev. Lett.88 197901 · doi:10.1103/PhysRevLett.88.197901 |
| [27] | Hartmann L, Dür W and Briegel H J 2006 Phys. Rev. A 74 052304 · doi:10.1103/PhysRevA.74.052304 |
| [28] | Hartmann L, Dür W and Briegel H J 2007 New J. Phys.9 230 · doi:10.1088/1367-2630/9/7/230 |
| [29] | Žnidarič M 2012 Phys. Rev. A 85 012324 · doi:10.1103/PhysRevA.85.012324 |
| [30] | Quiroga L, Rodri´guez F J, Rami´rez M E and Pari´s R 2007 Phys. Rev. A 75 032308 · doi:10.1103/PhysRevA.75.032308 |
| [31] | Bellomo B and Antezza M 2013 Europhys. Lett.104 10006 · doi:10.1209/0295-5075/104/10006 |
| [32] | Bellomo B and Antezza M 2013 New J. Phys.15 113052 · Zbl 1451.81061 · doi:10.1088/1367-2630/15/11/113052 |
| [33] | Manzano D, Tiersch M, Asadian A and Briegel H J 2012 Phys. Rev. E 86 061118 · doi:10.1103/PhysRevE.86.061118 |
| [34] | Brunner N, Huber M, Linden N, Popescu S, Silva R and Skrzypczyk P 2014 Phys. Rev. E 89 032115 · doi:10.1103/PhysRevE.89.032115 |
| [35] | Lambert N, Chen Y N, Cheng Y C, Li C M, Chen G Y and Nori F 2013 Nat. Phys.9 10-8 · doi:10.1038/nphys2474 |
| [36] | Mooij J E et al 1999 Science285 1036-9 · doi:10.1126/science.285.5430.1036 |
| [37] | van der Wiel W G, De Franceschi S, Elzerman J M, Fujisawa T, Tarucha S and Kouwenhoven L P 2002 Rev. Mod. Phys.75 1-22 · doi:10.1103/RevModPhys.75.1 |
| [38] | Skrzypczyk P, Brunner N, Linden N and Popescu S 2011 J. Phys. A: Math. Theor.44 492002 · Zbl 1235.81044 · doi:10.1088/1751-8113/44/49/492002 |
| [39] | Wootters W K 1998 Phys. Rev. Lett.80 2245-8 · Zbl 1368.81047 · doi:10.1103/PhysRevLett.80.2245 |
| [40] | Majer J B, Paauw F G, ter Haar A C J, Harmans C J P M and Mooij J E 2005 Phys. Rev. Lett.94 090501 · doi:10.1103/PhysRevLett.94.090501 |
| [41] | Izmalkov A et al 2004 Phys. Rev. Lett.93 037003 · doi:10.1103/PhysRevLett.93.037003 |
| [42] | Forn-Di´az P et al 2010 Phys. Rev. Lett.105 237001 · doi:10.1103/PhysRevLett.105.237001 |
| [43] | Liu Y x, Wei L F, Tsai J S and Nori F 2006 Phys. Rev. Lett.96 067003 · doi:10.1103/PhysRevLett.96.067003 |
| [44] | Xia K, Macovei M, Evers J and Keitel C H 2009 Phys. Rev. B 79 024519 · doi:10.1103/PhysRevB.79.024519 |
| [45] | Martinis J M, Nam S, Aumentado J, Lang K M and Urbina C 2003 Phys. Rev. B 67 094510 · doi:10.1103/PhysRevB.67.094510 |
| [46] | Breuer H P and Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press) · Zbl 1053.81001 |
| [47] | Schaller G 2014 Open Quantum Systems Far from Equilibrium (Berlin: Springer) · Zbl 1290.81003 · doi:10.1007/978-3-319-03877-3 |
| [48] | Bylander J et al 2011 Nat. Phys.7 565-70 · doi:10.1038/nphys1994 |
| [49] | Stern M et al 2014 Phys. Rev. Lett.113 123601 · doi:10.1103/PhysRevLett.113.123601 |
| [50] | Caban P, Podlaski K, Rembielinski J, Smolinski K A and Walczak Z 2005 J. Phys. A: Math. Gen.38 L79 · Zbl 1065.81521 · doi:10.1088/0305-4470/38/6/L02 |
| [51] | Petersson K D, Petta J R, Lu H and Gossard A C 2010 Phys. Rev. Lett.105 246804 · doi:10.1103/PhysRevLett.105.246804 |
| [52] | Vollbrecht K G H, Muschik C A and Cirac J I 2011 Phys. Rev. Lett.107 120502 · doi:10.1103/PhysRevLett.107.120502 |
| [53] | Mitchison M T, Woods M P, Prior J and Huber M 2015 arXiv:1504.01593 |
| [54] | Brask J B and Brunner N 2015 arXiv:1508.02025 |
| [55] | You J Q and Nori F 2005 Phys. Today58 11 · doi:10.1063/1.2155757 |
| [56] | van der Wal C H et al 2000 Science290 773-7 · doi:10.1126/science.290.5492.773 |
| [57] | You J Q, Nakamura Y and Nori F 2005 Phys. Rev. B 71 024532 · doi:10.1103/PhysRevB.71.024532 |
| [58] | Chen Y X and Li S W 2012 Europhys. Lett.97 40003 · doi:10.1209/0295-5075/97/40003 |
| [59] | Hanson R, Kouwenhoven L P, Petta J R, Tarucha S and Vandersypen L M K 2007 Rev. Mod. Phys.79 1217-65 · doi:10.1103/RevModPhys.79.1217 |
| [60] | Ihn T 2009 Semiconductor Nanostructures (Oxford: Oxford University Press) · doi:10.1093/acprof:oso/9780199534425.001.0001 |
| [61] | Delbecq M R et al 2011 Phys. Rev. Lett.107 256804 · doi:10.1103/PhysRevLett.107.256804 |
| [62] | Frey T, Leek P J, Beck M, Blais A, Ihn T, Ensslin K and Wallraff A 2012 Phys. Rev. Lett.108 046807 · doi:10.1103/PhysRevLett.108.046807 |
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