Detecting and leaking a Majorana bound state through proximity to a Kitaev ring
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916145657806848 |
|---|---|
| author | Malard, Mariana Brandão, David S. |
| author_facet | Malard, Mariana Brandão, David S. |
| contents | We show that the existence of a Majorana bound state at one end of a Kitaev chain is unambiguously signaled by observable quantities in a nearby Kitaev ring. When the Kitaev chain is in the topological phase, the band structure of the Kitaev ring breaks chiral symmetry and the ring-Majoranas' spectral functions are even functions of momentum and energy, the latter wielding time-reversal and particle-hole symmetric occupation numbers and, hence, zero current in the ring. Driving a phase transition in the Kitaev chain (e.g., using a backgate to vary the chemical potential of the chain through its critical value), the replacement of the Majorana bound state by a trivial fermion is manifest by chiral symmetry reappearing in the band structure of the ring and by the ring-Majoranas' spectral functions loss of parity, wielding time-reversal and particle-hole symmetry breaking in the occupation numbers and a spontaneous current in the ring. Energy resonance and maximum spectral weight exactly at the resonance energy concur for a high leakage probability between ring-Majoranas' states and the Majorana bound state, whereas the lack of energy resonance makes unlikely any leakage between ring-Majoranas' states and the trivial fermion states. The proposed setup also invites further investigations in the context of braiding and/or fusion of Majorana states, both as detection mechanisms and for quantum computing purposes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01588 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Detecting and leaking a Majorana bound state through proximity to a Kitaev ring Malard, Mariana Brandão, David S. Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Physics We show that the existence of a Majorana bound state at one end of a Kitaev chain is unambiguously signaled by observable quantities in a nearby Kitaev ring. When the Kitaev chain is in the topological phase, the band structure of the Kitaev ring breaks chiral symmetry and the ring-Majoranas' spectral functions are even functions of momentum and energy, the latter wielding time-reversal and particle-hole symmetric occupation numbers and, hence, zero current in the ring. Driving a phase transition in the Kitaev chain (e.g., using a backgate to vary the chemical potential of the chain through its critical value), the replacement of the Majorana bound state by a trivial fermion is manifest by chiral symmetry reappearing in the band structure of the ring and by the ring-Majoranas' spectral functions loss of parity, wielding time-reversal and particle-hole symmetry breaking in the occupation numbers and a spontaneous current in the ring. Energy resonance and maximum spectral weight exactly at the resonance energy concur for a high leakage probability between ring-Majoranas' states and the Majorana bound state, whereas the lack of energy resonance makes unlikely any leakage between ring-Majoranas' states and the trivial fermion states. The proposed setup also invites further investigations in the context of braiding and/or fusion of Majorana states, both as detection mechanisms and for quantum computing purposes. |
| title | Detecting and leaking a Majorana bound state through proximity to a Kitaev ring |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2403.01588 |