Observing a topological transition in weak-measurement-induced geometric phases
Measurement plays a quintessential role in the control of quantum systems. Beyond initialization and readout which pertain to projective measurements, weak measurements, in particular through their back action on the system, may enable various levels of coherent control. The latter ranges from obser...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-06-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.023179 |
| _version_ | 1797210716594241536 |
|---|---|
| author | Yunzhao Wang Kyrylo Snizhko Alessandro Romito Yuval Gefen Kater Murch |
| author_facet | Yunzhao Wang Kyrylo Snizhko Alessandro Romito Yuval Gefen Kater Murch |
| author_sort | Yunzhao Wang |
| collection | DOAJ |
| description | Measurement plays a quintessential role in the control of quantum systems. Beyond initialization and readout which pertain to projective measurements, weak measurements, in particular through their back action on the system, may enable various levels of coherent control. The latter ranges from observing quantum trajectories to state dragging and steering. Furthermore, just like the adiabatic evolution of quantum states that is known to induce the Berry phase, sequential weak measurements may lead to path-dependent geometric phases. Here we measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength. This connection between weak measurement-induced quantum dynamics and topological transitions reveals subtle topological features in measurement-based manipulation of quantum systems. Our protocol could be implemented for classes of operations (e.g., braiding) that are topological in nature. Furthermore, our results open new horizons for measurement-enabled quantum control of many-body topological states. |
| first_indexed | 2024-04-24T10:15:01Z |
| format | Article |
| id | doaj.art-44c02ec4cfc848b1bff943b947fcd6bb |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:01Z |
| publishDate | 2022-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-44c02ec4cfc848b1bff943b947fcd6bb2024-04-12T17:21:31ZengAmerican Physical SocietyPhysical Review Research2643-15642022-06-014202317910.1103/PhysRevResearch.4.023179Observing a topological transition in weak-measurement-induced geometric phasesYunzhao WangKyrylo SnizhkoAlessandro RomitoYuval GefenKater MurchMeasurement plays a quintessential role in the control of quantum systems. Beyond initialization and readout which pertain to projective measurements, weak measurements, in particular through their back action on the system, may enable various levels of coherent control. The latter ranges from observing quantum trajectories to state dragging and steering. Furthermore, just like the adiabatic evolution of quantum states that is known to induce the Berry phase, sequential weak measurements may lead to path-dependent geometric phases. Here we measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength. This connection between weak measurement-induced quantum dynamics and topological transitions reveals subtle topological features in measurement-based manipulation of quantum systems. Our protocol could be implemented for classes of operations (e.g., braiding) that are topological in nature. Furthermore, our results open new horizons for measurement-enabled quantum control of many-body topological states.http://doi.org/10.1103/PhysRevResearch.4.023179 |
| spellingShingle | Yunzhao Wang Kyrylo Snizhko Alessandro Romito Yuval Gefen Kater Murch Observing a topological transition in weak-measurement-induced geometric phases Physical Review Research |
| title | Observing a topological transition in weak-measurement-induced geometric phases |
| title_full | Observing a topological transition in weak-measurement-induced geometric phases |
| title_fullStr | Observing a topological transition in weak-measurement-induced geometric phases |
| title_full_unstemmed | Observing a topological transition in weak-measurement-induced geometric phases |
| title_short | Observing a topological transition in weak-measurement-induced geometric phases |
| title_sort | observing a topological transition in weak measurement induced geometric phases |
| url | http://doi.org/10.1103/PhysRevResearch.4.023179 |
| work_keys_str_mv | AT yunzhaowang observingatopologicaltransitioninweakmeasurementinducedgeometricphases AT kyrylosnizhko observingatopologicaltransitioninweakmeasurementinducedgeometricphases AT alessandroromito observingatopologicaltransitioninweakmeasurementinducedgeometricphases AT yuvalgefen observingatopologicaltransitioninweakmeasurementinducedgeometricphases AT katermurch observingatopologicaltransitioninweakmeasurementinducedgeometricphases |