Spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities
We solve the low-energy part of the spectrum of a model that describes a circularly polarized cavity mode strongly coupled to two exciton modes, each of which is coupled to a localized spin of arbitrary magnitude. In the regime in which the excitons and the cavity modes are strongly coupled, forming...
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2011
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09538984_v23_n21_p_Andrade http://hdl.handle.net/20.500.12110/paper_09538984_v23_n21_p_Andrade |
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paper:paper_09538984_v23_n21_p_Andrade2023-06-08T15:55:38Z Spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities Quinteiro, Guillermo Axial anisotropy Cavity mode Circularly polarized Detunings Effective Hamiltonian Effective interactions Exciton modes Indirect interactions Localized spin Low energies Low-energy excitations Low-energy state Micro Pillars Polaritons Quantum Computing Quantum Dot Spin models Spin-spin Two-qubit Zero-dimensional Magnetic fields Magnetic properties Quantum computers Quantum theory Transition metals Excitons We solve the low-energy part of the spectrum of a model that describes a circularly polarized cavity mode strongly coupled to two exciton modes, each of which is coupled to a localized spin of arbitrary magnitude. In the regime in which the excitons and the cavity modes are strongly coupled, forming polaritons, the low-energy part of the spectrum can be described by an effective spin model, which contains a magnetic field, an axial anisotropy, and an Ising interaction between the localized spins. For detunings such that the low-energy states are dominated by nearly degenerate excitonic modes, the description of the low-energy states by a simple effective Hamiltonian ceases to be valid and the effective interaction tends to vanish. Finally, we discuss a possible application to two-qubit quantum computing operations in a system of transition-metal impurities embedded in quantum dots inside a micropillar. © 2011 IOP Publishing Ltd. Fil:Quinteiro, G.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09538984_v23_n21_p_Andrade http://hdl.handle.net/20.500.12110/paper_09538984_v23_n21_p_Andrade |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Axial anisotropy Cavity mode Circularly polarized Detunings Effective Hamiltonian Effective interactions Exciton modes Indirect interactions Localized spin Low energies Low-energy excitations Low-energy state Micro Pillars Polaritons Quantum Computing Quantum Dot Spin models Spin-spin Two-qubit Zero-dimensional Magnetic fields Magnetic properties Quantum computers Quantum theory Transition metals Excitons |
| spellingShingle |
Axial anisotropy Cavity mode Circularly polarized Detunings Effective Hamiltonian Effective interactions Exciton modes Indirect interactions Localized spin Low energies Low-energy excitations Low-energy state Micro Pillars Polaritons Quantum Computing Quantum Dot Spin models Spin-spin Two-qubit Zero-dimensional Magnetic fields Magnetic properties Quantum computers Quantum theory Transition metals Excitons Quinteiro, Guillermo Spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities |
| topic_facet |
Axial anisotropy Cavity mode Circularly polarized Detunings Effective Hamiltonian Effective interactions Exciton modes Indirect interactions Localized spin Low energies Low-energy excitations Low-energy state Micro Pillars Polaritons Quantum Computing Quantum Dot Spin models Spin-spin Two-qubit Zero-dimensional Magnetic fields Magnetic properties Quantum computers Quantum theory Transition metals Excitons |
| description |
We solve the low-energy part of the spectrum of a model that describes a circularly polarized cavity mode strongly coupled to two exciton modes, each of which is coupled to a localized spin of arbitrary magnitude. In the regime in which the excitons and the cavity modes are strongly coupled, forming polaritons, the low-energy part of the spectrum can be described by an effective spin model, which contains a magnetic field, an axial anisotropy, and an Ising interaction between the localized spins. For detunings such that the low-energy states are dominated by nearly degenerate excitonic modes, the description of the low-energy states by a simple effective Hamiltonian ceases to be valid and the effective interaction tends to vanish. Finally, we discuss a possible application to two-qubit quantum computing operations in a system of transition-metal impurities embedded in quantum dots inside a micropillar. © 2011 IOP Publishing Ltd. |
| author |
Quinteiro, Guillermo |
| author_facet |
Quinteiro, Guillermo |
| author_sort |
Quinteiro, Guillermo |
| title |
Spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities |
| title_short |
Spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities |
| title_full |
Spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities |
| title_fullStr |
Spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities |
| title_full_unstemmed |
Spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities |
| title_sort |
spin-spin indirect interaction at low-energy excitation in zero-dimensional cavities |
| publishDate |
2011 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09538984_v23_n21_p_Andrade http://hdl.handle.net/20.500.12110/paper_09538984_v23_n21_p_Andrade |
| work_keys_str_mv |
AT quinteiroguillermo spinspinindirectinteractionatlowenergyexcitationinzerodimensionalcavities |
| _version_ |
1768546636824313856 |