Fast state and trap rotation of a particle in an anisotropic potential
We study the dynamics of a quantum or classical particle in a two-dimensional rotating anisotropic harmonic potential. By a sequence of symplectic transformations for constant rotation velocity we find uncoupled normal generalized coordinates and conjugate momenta in which the Hamiltonian takes the...
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| Veröffentlicht in: | Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2019-11, Vol.52 (46), p.465301 |
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| container_issue | 46 |
| container_start_page | 465301 |
| container_title | Journal of physics. A, Mathematical and theoretical |
| container_volume | 52 |
| creator | Lizuain, I Tobalina, A Rodriguez-Prieto, A Muga, J G |
| description | We study the dynamics of a quantum or classical particle in a two-dimensional rotating anisotropic harmonic potential. By a sequence of symplectic transformations for constant rotation velocity we find uncoupled normal generalized coordinates and conjugate momenta in which the Hamiltonian takes the form of two independent harmonic oscillators. The decomposition into normal-mode dynamics enables us to design fast trap-rotation processes to produce a rotated version of an arbitrary initial state, when the two normal frequencies are commensurate. |
| doi_str_mv | 10.1088/1751-8121/ab4a2f |
| format | Article |
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By a sequence of symplectic transformations for constant rotation velocity we find uncoupled normal generalized coordinates and conjugate momenta in which the Hamiltonian takes the form of two independent harmonic oscillators. The decomposition into normal-mode dynamics enables us to design fast trap-rotation processes to produce a rotated version of an arbitrary initial state, when the two normal frequencies are commensurate.</description><identifier>ISSN: 1751-8113</identifier><identifier>EISSN: 1751-8121</identifier><identifier>DOI: 10.1088/1751-8121/ab4a2f</identifier><identifier>CODEN: JPHAC5</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>atom and ion trapping ; quantum control ; symplectic transformations</subject><ispartof>Journal of physics. 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A, Mathematical and theoretical</title><addtitle>JPhysA</addtitle><addtitle>J. Phys. A: Math. Theor</addtitle><description>We study the dynamics of a quantum or classical particle in a two-dimensional rotating anisotropic harmonic potential. By a sequence of symplectic transformations for constant rotation velocity we find uncoupled normal generalized coordinates and conjugate momenta in which the Hamiltonian takes the form of two independent harmonic oscillators. 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By a sequence of symplectic transformations for constant rotation velocity we find uncoupled normal generalized coordinates and conjugate momenta in which the Hamiltonian takes the form of two independent harmonic oscillators. The decomposition into normal-mode dynamics enables us to design fast trap-rotation processes to produce a rotated version of an arbitrary initial state, when the two normal frequencies are commensurate.</abstract><pub>IOP Publishing</pub><doi>10.1088/1751-8121/ab4a2f</doi><tpages>18</tpages><orcidid>https://orcid.org/0000-0001-9207-4493</orcidid></addata></record> |
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| identifier | ISSN: 1751-8113 |
| ispartof | Journal of physics. A, Mathematical and theoretical, 2019-11, Vol.52 (46), p.465301 |
| issn | 1751-8113 1751-8121 |
| language | eng |
| recordid | cdi_iop_journals_10_1088_1751_8121_ab4a2f |
| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | atom and ion trapping quantum control symplectic transformations |
| title | Fast state and trap rotation of a particle in an anisotropic potential |
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