Project A7:
Controlling many-body quantum systems (2009-2017)
Summary
In this project, we propose to investigate the interaction between ultracold ions and neutral atoms in traps. The guiding concept is to exploit the available control of the geometry and strength of trapping potentials and of external fields in order to generate interesting forms of interaction that lead to a time dependent tuning of quantum correlations in combined systems of ions and atoms. This objective is connected to the common goal of the SFB and it follows its general approach of starting with well controlled few-body systems that can be still theoretically treated, in order to proceed toward the understanding of largerscale many-body quantum systems.
When a neutral atom and an ion are brought together, the ion charge induces in the atom an electric dipole moment, which attracts it with an internal-state-independent r-4 dependence at large distances. The short-range part of the interaction potential, conversely, presents an intricate dependence on the diatomic molecular state, exhibiting many features known from atomic collision physics, for instance Feshbach resonances. In confined geometries, the bigger interaction strength of the induced-dipole potential, compared to neutral collisions, gives rise to novel phenomena like trap-induced resonances.
We plan to investigate ion-atom interactions over a broad range of distances, in order to achieve control over their quantum states and to engineer and investigate interesting quantum correlations in experimentally realizable systems involving from a few up to many such particles. Analogies to collective effects appearing in condensed-matter systems will be explored, for instance concerning effective ion-mediated interactions between atoms.
A further important application of this work will be to interactions between ions and neutral molecules, whereby the asymptotic part of the potential shows the same r-dependence as with atoms. In the context of a molecular ensemble coupled to individually trapped ions, this will be used to develop methods to effect cooling of the vibrational degrees of freedom of molecular gases and self-assembled crystals, which is difficult to attain via other means.
Project leaders
Prof. Dr. Tommaso Calarco, Institut für komplexe Quantensysteme, Universität Ulm
PD Dr. Simone Montangero, Institut für komplexe Quantensysteme, Universität Ulm
Refs & Publications
B. Buyens, S. Montangero, J. Haegeman, F. Verstraete, K. Van Acoleyen"Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks"
Phys. Rev. D 95, 094509 (2017); doi: 10.1103/PhysRevD.95.094509
X. Zang, S. Montangero, L. D. Carr, M. T. Lusk
"Engineering and manipulating exciton wave packets"
Phys. Rev. B 95, 195423 (2017); doi: 10.1103/PhysRevB.95.195423
P. Silvi, E. Rico, M. Dalmonte, F. Tschirsich, S. Montangero
"Finite-density phase diagram of a (1+1)-d non-abelian lattice gauge theory with tensor networks"
Quantum 1, 9 (2017); arXiv:1606.05510; doi: 10.22331/q-2017-04-25-9
S. van Frank, M. Bonneau, J. Schmiedmayer, S. Hild, C. Gross, M. Cheneau, I. Bloch, T. Pichler, A. Negretti, T. Calarco, and S. Montangero
"Optimal control of complex atomic quantum systems"
Scientific Reports 6, 34187 (2016); doi: 10.1038/srep34187
A. H. Werner, D. Jaschke, P. Silvi, T. Calarco, J. Eisert, and S. Montangero
"A positive tensor network approach for simulating open quantum many-body systems"
Phys. Rev. Lett. 116 237201 (2016); doi: 10.1103/PhysRevLett.116.237201
V. Mukherjee, S. Montangero, and R. Fazio
"A local shortcut to adiabaticity for quantum many-body systems"
Phys. Rev. A 93, 062108 (2016); doi: 10.1103/PhysRevA.93.062108
P. Silvi, G. Morigi, T. Calarco, and S. Montangero
"Crossover from the classical to the quantum Kibble-Zurek scaling"
Phys. Rev. Lett. 116, 225701 (2016); doi: 10.1103/PhysRevLett.116.225701
W. P. Schleich, K. S. Ranade, C. Anton, M. Arndt, M. Aspelmeyer, M. Bayer, G. Berg, T. Calarco, H. Fuchs, E. Giacobino, M. Grassl, P. Hänggi, W. M. Heckl, I. Hertel, S.Huelga, F. Jelezko, B. Keimer, J. P. Kotthaus, G. Leuchs, N. Lütkenhaus, U. Maurer, T.
"Quantum technology: from research to application"
Appl. Phys. B 122:130 (2016); doi: 10.1007/s00340-016-6353-8
M. Müller, T. Pichler, S. Montangero, and T. Calarco
"Optimal control for Rydberg quantum technology building blocks"
Applied Physics 122:104 (2016); doi: 10.1007/s00340-016-6383-2
M. Dalmonte and S. Montangero
"Lattice gauge theories simulations in the quantum information era"
Contemp. Phys. 57, 388 (2016); doi: 10.1080/00107514.2016.1151199
T. Pichler, M. Dalmonte, E. Rico, P. Zoller, and S. Montangero
"Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks"
Phys. Rev. X 6, 011023 (2016); doi: 10.1103/PhysRevX.6.011023
T. Caneva, S. Montangero, M. D. Lukin, T. Calarco
"Noise-resistant optimal spin squeezing via quantum control"
Phys. Rev. A, 93, 013851 (2016); arXiv:1304.7195 [quant-ph]; doi: 10.1103/PhysRevA.93.013851
C. Lovecchio, F Schäfer, S Cherukattil, A K Murtaza, I Herrera, F S Cataliotti, T Calarco, S Montangero, F Caruso
"Optimal preparation of quantum states on an atom chip device"
Phys. Rev. A, 93, 010304(R) (2016); arXiv:1405.6918 [quant-ph]; doi: 10.1103/PhysRevA.93.010304
W. Weiss, G. Benenti, G. Casati, I. Guarneri, T. Calarco, M. Paternostro, S. Montangero
"Violation of Bell inequalities in larger Hilbert spaces: robustness and challenges"
New J. Phys., 18, 013021 (2016); arXiv:1508.00368 [quant-ph]; doi: 10.1088/1367-2630/18/1/013021
M. Gerster, M. Rizzi, F. Tschirsich, P. Silvi, R. Fazio, S. Montangero
"Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model"
New J. Phys., 18, 015015 (2016); arXiv:1510.01074 [cond-mat.dis-nn]; doi: 10.1088/1367-2630/18/1/015015
N. Rach, M. M. Müller, T. Calarco, S Montangero
"Dressing the chopped-random-basis optimization: A bandwidth-limited access to the trap-free landscape"
Phys. Rev. A, 92, 2343 (2015);; doi: 10.1103/PhysRevA.92.062343
J. C. Budich, C. Laflamme, F. Tschirsich, S. Montangero, P. Zoller
"Synthetic Helical Liquids with Ultracold Atoms in Optical Lattices"
Phys. Rev. B, 92, 245121 (2015); arXiv:1505.02800 [cond-mat.quant-gas]; doi: 10.1103/PhysRevB.92.245121
I. Brouzos, A.j I. Streltsov, A. Negretti, R. S. Said, T. Caneva, S. Montangero, T. Calarco
"Quantum Speed Limit and Optimal Control of Many-Boson Dynamics"
Phys. Rev. A, 92, 062110 (2015); arXiv:1412.6142 [quant-ph]; doi: 10.1103/PhysRevA.92.062110
M. M. Müller, U.G. Poschinger, T. Calarco, S. Montangero, F. Schmidt-Kaler
"Phonon-to-spin mapping in a system of a trapped ion via optimal control"
Phys. Rev. A, 92, 053423 (2015); arXiv:1504.02858 [quant-ph]; doi: 10.1103/PhysRevA.92.053423
C. Lovecchio, S. Cherukattil, B. Cilenti, I. Herrera, F. Saverio Cataliotti, S. Montangero, T. Calarco, F. Caruso
"Quantum state reconstruction on Atom-Chips"
New J. Phys., 17, 93024 (2015); arXiv:1504.01963 [quant-ph]; doi: 10.1088/1367-2630/17/9/093024
V. Mukherjee, V. Giovannetti, R. Fazio, S. F. Huelga, T. Calarco, S. Montangero
"Efficiency of quantum controlled non-Markovian thermalization"
New J. Phys., 17, 063031 (2015); arXiv:1501.07382 [quant-ph]; doi: 10.1088/1367-2630/17/6/063031
P. Watts, J. Vala, M. M. Müller, T. Calarco, K. Birgitta Whaley, D. M. Reich, M. H. Goerz, C. P. Koch
"Optimizing for an arbitrary perfect entangler: I. Functionals"
Phys. Rev. A, 91, 062306 (2015); arXiv:1412.7347 [quant-ph]; doi: 10.1103/PhysRevA.91.062306
M. H. Goerz, G. Gualdi, D. M. Reich, C. P. Koch, F. x Motzoi, K. B. Whaley, J. Vala, M. M. Müller, S. Montangero, T. Calarco
"Optimizing for an arbitrary perfect entangler. II. Application"
Phys. Rev. A, 91, 062307 (2015); arXiv:1412.7350 [quant-ph]; doi: 10.1103/PhysRevA.91.062307
A. Negretti, R. Gerritsma, Z. Idziaszek, F. Schmidt-Kaler, T. Calarco
"Generalised Kronig-Penney model for ultracold atomic quantum systems"
Phys Rev B, 90, 155426 (2014); arXiv:1406.6969 [quant-ph]; doi: 10.1103/PhysRevB.90.155426
P. Silvi, E. Rico, T. Calarco, S. Montangero
"Lattice Gauge Tensor Networks"
New J. Phys., 16, 103015 (2014); arXiv:1404.7439 [quant-ph]; doi: 10.1088/1367-2630/16/10/103015
J. Scheuer, Xi Kong, R. S. Said, J. Chen, A. Kurz, L. Marseglia, J. Du, P. R. Hemmer, S. Montangero, T. Calarco, B. Naydenov, F. Jelezko
"Precise ultra fast single qubit control using optimal control pulses"
New J. Phys. 16, 093022 (2014); arXiv:1309.4399 [quant-ph]; doi: 10.1088/1367-2630/16/9/093022
M Gerster, P Silvi, M Rizzi, R Fazio, T Calarco, S Montangero
"Unconstrained Tree Tensor Network: An adaptive gauge picture for enhanced performance"
Phys. Rev. B, 90, 125154 (2014); arXiv: 1406.2666; doi: 10.1103/PhysRevB.90.125154
H. A. Fürst, M. H. Goerz, U. G. Poschinger, M. Murphy, S. Montangero, T. Calarco, F. Schmidt-Kaler, K. Singer, C. P. Koch
"Controlling the transport of an ion: Classical and quantum mechanical solutions"
New J. Phys. 16, 075007 (2014); arXiv:1312.4156 [quant-ph]; doi: 10.1088/1367-2630/16/7/075007
S. Lloyd, S. Montangero
"Information theoretical analysis of quantum optimal control"
Phys. Rev. Lett. 113, 010502 (2014); arXiv:1401.5047 [quant-ph]; doi: 10.1103/PhysRevLett.113.010502
K. Jachymski, Z. Idziaszek, T. Calarco
"Fast quantum gate via Feshbach-Pauli blocking in a nanoplasmonic trap"
Phys. Rev. Lett., 112, 250502 (2014); arXiv:1401.7564 [quant-ph]; doi: 10.1103/PhysRevLett.112.250502
D. Podolsky, E. Shimshoni, P. Silvi, S. Montangero, T. Calarco, G. Morigi, S. Fishman
"From classical to quantum criticality"
Phys. Rev. B. 89, 214408 (2014); arXiv:1403.2422 [cond-mat.stat-mech]; doi: 10.1103/PhysRevB.89.214408
S. van Frank, A. Negretti, T. Berrada, R. Bücker, S. Montangero, J.-F. Schaff, T. Schumm, T. Calarco, J. Schmiedmayer
"Interferometry with non-classical motional states of a Bose–Einstein condensate"
Nature Communications, 5, 4009 (2014); arXiv:1402.0377 [quant-ph]; doi: 10.1038/ncomms5009
E. Rico, T. Pichler, M. Dalmonte, P. Zoller, S. Montangero
"Tensor networks for Lattice Gauge Theories and Atomic Quantum Simulation"
Phys. Rev. Lett. 112, 201601 (2014); arXiv:1312.3127 [cond-mat.quant-gas]; doi: 10.1103/PhysRevLett.112.201601
G. Vacanti, R. Fazio, S. Montangero, G. M. Palma, M. Paternostro, V. Vedral
"Superadiabatic dynamics in open quantum systems"
New J. Phys. 16, 053017 (2014); arXiv:1307.6922 [quant-ph]; doi: 10.1088/1367-2630/16/5/053017
T. Caneva, A. Silva, R. Fazio, S. Lloyd, T. Calarco, and S. Montangero
"Complexity of controlling quantum many-body dynamics"
Phys. Rev. A 89, 042322 (2014); arXiv:1301.6015 [quant-ph]; doi: 10.1103/PhysRevA.89.042322
S. Hoyer, F. Caruso, S. Montangero, M. Sarovar, T. Calarco, M.B. Plenio and B. Whaley
"Realistic and verifiable coherent control of excitonic states in a light harvesting complex"
New J. Phys. 16, 045007 (2014); arXiv:1307.4807; doi: 10.1088/1367-2630/16/4/045007
M. Müller, M. Murphy, S. Montangero, T. Calarco, P. Grangier, and A. Browaeys
"Implementation of an experimentally feasible controlled-phase gate on two blockaded Rydberg atoms"
Phys. Rev. A 89, 032334 (2014); doi: 10.1103/PhysRevA.89.032334
P. Silvi, T. Calarco, G. Morigi, and S. Montangero
"Ab initio characterization of the quantum linear-zigzag transition using density matrix renormalization group calculations"
Phys. Rev. B 89, 094103 (2014); doi: 10.1103/PhysRevB.89.094103
V. Mukherjee, A. Carlini, A. Mari, T. Caneva, S. Montangero, T. Calarco, R. Fazio, and V. Giovannetti
"Speeding up and slowing down the relaxation of a qubit by optimal control"
Phys. Rev. A 88, 062326 (2013); doi: 10.1103/PhysRevA.88.062326
S. M. Giampaolo, S. Montangero, F. Dell'Anno, S. De Siena, and F. Illuminati
"Universal aspects in the behavior of the entanglement spectrum in one dimension: Scaling transition at the factorization point and ordered entangled structures"
Phys. Rev. B 88, 125142 (2013); doi: 10.1103/PhysRevB.88.125142
U. Bissbort, D. Cocks, A. Negretti, Z. Idziaszek, T. Calarco, F. Schmidt-Kaler, W. Hofstetter, and R. Gerritsma
"Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms"
Phys. Rev. Lett. 111, 080501 (2013); doi: 10.1103/PhysRevLett.111.080501
S. Rosi, A. Bernard, N. Fabbri, L. Fallani, C. Fort, M. Inguscio, T. Calarco, and S. Montangero
"Fast closed-loop optimal control of ultracold atoms in an optical lattice"
Phys. Rev. A 88, 021601 (2013); doi: 10.1103/PhysRevA.88.021601
P. Silvi, G. De Chiara, T. Calarco, G. Morigi, and S. Montangero
"Full characterization of the quantum linear-zigzag transition in atomic chains"
Ann. Phys.525, 827 (2013); doi: 10.1002/andp.201300090
K. Jachymski, Z. Idziaszek, and T. Calarco
"Feshbach resonances in a nonseparable trap"
Phys. Rev. A 87, 042701 (2013); doi: 10.1103/PhysRevA.87.042701
M. M. Müller, A. Kölle, R. Löw, T. Pfau, T. Calarco, and S. Montangero
"Room temperature Rydberg Single Photon Source"
Phys. Rev. A 87, 053412 (2013); arXiv:1212.2811v1; doi: 10.1103/PhysRevA.87.053412
T. Caneva, T. Calarco, and S. Montangero
"Entanglement-storage units"
New Journal of Physics 14, 093041 (2012); doi: 10.1088/1367-2630/14/9/093041
R. Gerritsma, A. Negretti, H. Doerk, Z. Idziaszek, T. Calarco, and F. Schmidt-Kaler
"Bosonic Josephson Junction Controlled by a Single Trapped Ion"
Phys. Rev. Lett. 109, 080402 (2012); doi: 10.1103/PhysRevLett.109.080402
F. Caruso, S. Montangero, T. Calarco, S. F. Huelga, and M. B. Plenio
"Coherent optimal control of photosynthetic molecules"
Phys. Rev. A 85 , 042331 (2012); doi: 10.1103/PhysRevA.85.042331
D. Bleh, T. Calarco, and S. Montangero
"Quantum Game of Life"
EPL 97, 20012 (2012); doi: 10.1209/0295-5075/97/20012
A. Negretti, A. Benseny, J. Mompart, and T. Calarco
"Speeding up the spatial adiabatic passage of matter waves in optical microtraps by optimal control"
Quantum Inf. Process 12, 1439-1467 (2013); doi: 10.1007/s11128-012-0357-z
J. D. Baltrusch, C. Cormick, G. De Chiara, T. Calarco, and G. Morigi
"Quantum superpositions of crystalline structures"
Phys. Rev. A 84, 063821 (2011); doi: 10.1103/PhysRevA.84.063821
M. Murphy, S. Montangero, T. Calarco, P. Grangier, and A. Browaeys
"Towards an experimentally feasible controlled-phase gate on two blockaded Rydberg atoms"
arXiv:1111.6083 (2011)
M. M. Müller, D. M. Reich, M. Murphy, H. Yuan, J. Vala, K. B. Whaley, T. Calarco, and C. P. Koch
"Optimizing entangling quantum gates for physical systems"
Phys. Rev. A 84, 042315 (2011); doi: 10.1103/PhysRevA.84.042315
R. Schmidt, A. Negretti, J. Ankerhold, T. Calarco, and J. T. Stockburger
"Optimal Control of Open Quantum Systems: Cooperative Effects of Driving and Dissipation"
Phys. Rev. Lett. 107, 130404 (2011); doi: 10.1103/PhysRevLett.107.130404
A. Negretti, P. Treutlein, and T. Calarco
"Quantum computing implementations with neutral particles"
Quant. Inf. Proc. 10, 721-753 (2011); doi: 10.1007/s11128-011-0291-5
M. M. Müller, H. R. Haakh, T. Calarco, C. P. Koch, and C. Henkel
"Prospects for fast Rydberg gates on an atom chip"
Quant. Inf. Proc. 10, 771-792 (2011); doi: 10.1007/s11128-011-0296-0
T. Caneva, T. Calarco, and S. Montangero
"Chopped random-basis quantum optimization"
Phys. Rev. A 84, 022326 (2011); doi: 10.1103/PhysRevA.84.022326
Z. Idziaszek, A. Simoni, T. Calarco, and P. S. Julienne
"Multichannel quantum-defect theory for ultracold atom-ion collisions"
New Journal of Physics 13, 083005 (2011); doi: 10.1088/1367-2630/13/8/083005
M. H. Goerz, T. Calarco, and C. P. Koch
"The Quantum Speed Limit of Optimal Controlled Phasegates for Trapped Neutral Atoms"
J. Phys. B: At. Mol. Opt. Phys. 44, 154011 (2011); doi: 10.1088/0953-4075/44/15/154011
A. Negretti, R. Fazio, and T. Calarco
"Errors in quantum optimal control and strategy for the search of easily implementable control pulses"
J. Phys. B: At. Mol. Opt. Phys. 44, 154012 (2011); doi: 10.1088/0953-4075/44/15/154012
T. Caneva, T. Calarco, R. Fazio, G. E. Santoro, and S. Montangero
"Speeding up critical system dynamics through optimized evolution"
Phys. Rev. A 84, 012312 (2011); doi: 10.1103/PhysRevA.84.012312
Z. Idziaszek, T. Calarco, and P. Zoller
"Ion-assisted ground-state cooling of a trapped polar molecule"
Phys. Rev. A 83, 053413 (2011); doi: 10.1103/PhysRevA.83.053413
P. Doria, T. Calarco, and S. Montangero
"Optimal Control Technique for Many-Body Quantum Dynamics"
Phys. Rev. Lett. 106, 190501 (2011); doi: 10.1103/PhysRevLett.106.190501
J. Nehrkorn, S. Montangero, A. Ekert, A. Smerzi, R. Fazio, and T. Calarco
"Staying adiabatic with unknown energy gap"
arXiv:1105.1707 [quant-ph]
J. D. Baltrusch, A. Negretti, J. M. Taylor, and T. Calarco
"Fast and robust quantum computation with ionic Wigner crystals"
Phys. Rev. A 83, 042319 (2011); doi: 10.1103/PhysRevA.83.042319
J. Goold, H. Doerk, Z. Idziaszek, T. Calarco, and Th. Busch
"Ion-induced density bubble in a strongly correlated one-dimensional gas"
Phys. Rev. A 81, 041601 (2010); doi: 10.1103/PhysRevA.81.041601
H. Doerk, Z. Idziaszek, and T. Calarco
"Atom-ion quantum gate"
Phys. Rev. A 81, 012708 (2010); doi: 10.1103/PhysRevA.81.012708
T. Caneva, M. Murphy, T. Calarco, R. Fazio, S. Montangero, V. Giovannetti, and G. E. Santoro
"Optimal Control at the Quantum Speed Limit"
Phys. Rev. Lett. 103, 240501 (2009); doi: 10.1103/PhysRevLett.103.240501
Z. Idziaszek, T. Calarco, P. S. Julienne, and A. Simoni
"Quantum theory of ultracold atom-ion collisions"
Phys. Rev. A 79, 010702 (2009); doi: 10.1103/PhysRevA.79.010702