Bogoliubov quasi-particles in superconductors are integer-charged particles inapplicable for braiding quantum information
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914089334210560 |
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| author | Fan, Zhiyu Ku, Wei |
| author_facet | Fan, Zhiyu Ku, Wei |
| contents | We present a rigorous proof that under a number-conserving Hamiltonian, one-body quasi-particles generally possess quantized charge and inertial mass identical to the bare particles. It follows that, Bogoliubov zero modes in the vortex (or on the edge) of superconductors $\textit{cannot}$ be their own anti-particles capable of braiding quantum information. As such, the heavily pursued Majorana zero mode-based route for quantum computation requires a serious re-consideration. This study further reveals the conceptual challenge in preparing and manipulating braid-able quantum states via physical thermalization or slow external fields. These profound results should reignite the long-standing quest for a number-conserving theory of superconductivity and superfluidity without fictitiously breaking global U(1) symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09663 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bogoliubov quasi-particles in superconductors are integer-charged particles inapplicable for braiding quantum information Fan, Zhiyu Ku, Wei Strongly Correlated Electrons Superconductivity Quantum Physics We present a rigorous proof that under a number-conserving Hamiltonian, one-body quasi-particles generally possess quantized charge and inertial mass identical to the bare particles. It follows that, Bogoliubov zero modes in the vortex (or on the edge) of superconductors $\textit{cannot}$ be their own anti-particles capable of braiding quantum information. As such, the heavily pursued Majorana zero mode-based route for quantum computation requires a serious re-consideration. This study further reveals the conceptual challenge in preparing and manipulating braid-able quantum states via physical thermalization or slow external fields. These profound results should reignite the long-standing quest for a number-conserving theory of superconductivity and superfluidity without fictitiously breaking global U(1) symmetry. |
| title | Bogoliubov quasi-particles in superconductors are integer-charged particles inapplicable for braiding quantum information |
| topic | Strongly Correlated Electrons Superconductivity Quantum Physics |
| url | https://arxiv.org/abs/2509.09663 |