Difference between revisions of "Arxiv Selection Oct 2020"
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Considering the thermodynamics of bosons in a lattice described by the Bose-Hubbard Hamiltonian, we report the occurrence of anomalous double peaks in their specific heat dependence on tempera- ture. This feature, usually associated with a high geometrical frustration, can also be a consequence of a purely energetic competition. By employing self-energy functional calculations combined with finite-temperature perturbation theory, we propose a mechanism based on ground-state degeneracies expressed as residual entropies. A general decomposition of the specific heat regarding all possible transitions between the system’s eingenvalues provides an insight into the nature of each maximum. Furthermore, we address how the model parameters modify the structure of these peaks based on its spectral properties and atom-atom correlation function. | Considering the thermodynamics of bosons in a lattice described by the Bose-Hubbard Hamiltonian, we report the occurrence of anomalous double peaks in their specific heat dependence on tempera- ture. This feature, usually associated with a high geometrical frustration, can also be a consequence of a purely energetic competition. By employing self-energy functional calculations combined with finite-temperature perturbation theory, we propose a mechanism based on ground-state degeneracies expressed as residual entropies. A general decomposition of the specific heat regarding all possible transitions between the system’s eingenvalues provides an insight into the nature of each maximum. Furthermore, we address how the model parameters modify the structure of these peaks based on its spectral properties and atom-atom correlation function. | ||
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| + | ==Oct 09== | ||
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| + | arXiv:2010.03841 [pdf, ps, other] quant-ph | ||
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| + | Efficient unstructured search implementation on current ion-trap quantum processors | ||
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| + | Authors: Vladyslav Hlembotskyi, Rafał Burczyński, Witold Jarnicki, Adam Szady, Jan Tułowiecki | ||
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| + | Abstract: So far, only the results on 3 qubit spaces (both on superconducting and ion-trap realisations of quantum processors) have beaten the classical unstructured search in the expected number of oracle calls using optimal protocols in both settings. We present experimental results on running unstructured search in spaces defined by 4, 5 and 6 qubits on ion-trapped quantum processor. Our best circuits ob… ▽ More | ||
| + | Submitted 8 October, 2020; originally announced October 2020. | ||
| + | Comments: 10 pages, 14 figures | ||
| + | Report number: 20-10-H | ||
Revision as of 13:38, 20 October 2020
Oct 1- Oct 7 Bhaskar Mukherjee, Oct 8- Oct 14 Zehan Li, Oct 15- Oct 21 Haiping Hu, Oct 22- Oct 28 Sayan Choudhury
Oct 14
arXiv:2010.06560 [pdf, other]
Double-peak specific heat anomaly and correlations in the Bose-Hubbard model
Eduardo O. Rizzatti, Marco Aurélio A. Barbosa, Marcia C. Barbosa
Subjects: Quantum Gases (cond-mat.quant-gas)
Considering the thermodynamics of bosons in a lattice described by the Bose-Hubbard Hamiltonian, we report the occurrence of anomalous double peaks in their specific heat dependence on tempera- ture. This feature, usually associated with a high geometrical frustration, can also be a consequence of a purely energetic competition. By employing self-energy functional calculations combined with finite-temperature perturbation theory, we propose a mechanism based on ground-state degeneracies expressed as residual entropies. A general decomposition of the specific heat regarding all possible transitions between the system’s eingenvalues provides an insight into the nature of each maximum. Furthermore, we address how the model parameters modify the structure of these peaks based on its spectral properties and atom-atom correlation function.
Oct 09
arXiv:2010.03841 [pdf, ps, other] quant-ph
Efficient unstructured search implementation on current ion-trap quantum processors
Authors: Vladyslav Hlembotskyi, Rafał Burczyński, Witold Jarnicki, Adam Szady, Jan Tułowiecki
Abstract: So far, only the results on 3 qubit spaces (both on superconducting and ion-trap realisations of quantum processors) have beaten the classical unstructured search in the expected number of oracle calls using optimal protocols in both settings. We present experimental results on running unstructured search in spaces defined by 4, 5 and 6 qubits on ion-trapped quantum processor. Our best circuits ob… ▽ More Submitted 8 October, 2020; originally announced October 2020. Comments: 10 pages, 14 figures Report number: 20-10-H
