https://doi.org/10.1140/epjc/s10052-023-11967-0
Regular Article - Theoretical Physics
Circuit complexity for coherent-thermal states in bosonic string theory
1
Department of Physics, National Institute of Technology, Srinagar, 190006, Srinagar, Jammu and Kashmir, India
2
Department of Physics, BITS-Pilani, K. K. Birla Goa Campus, 403726, Zuarinagar, Goa, India
3
Canadian Quantum Research Center, 204-3002, 32 Ave, V1T 2L7, Vernon, BC, Canada
4
Department of Physics and Engineering, Istanbul Technical University, 34469, Istanbul, Turkey
5
Department of Physics and Astrophysics, University of Delhi, 110007, Delhi, India
6
Department of Physics and Astronomy, University of Lethbridge, T1K 3M4, Lethbridge, AB, Canada
7
Irving K. Barber School of Arts and Sciences, University of British Columbia, Okanagan Campus, V1V1V7, Kelowna, Canada
Received:
24
February
2023
Accepted:
26
August
2023
Published online:
22
September
2023
In this paper, we first construct thermofield double states for bosonic string theory in the light-cone gauge. We then obtain a coherent-thermal string state and a thermal-coherent string state. We use the covariance matrix approach to calculate the circuit complexity of coherent-thermal string states. In this approach, we generate the optimal geodesics by a horizontal string generator, and then obtain the circuit complexity using the length of the minimal geodesics in the group manifold.
© The Author(s) 2023
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