A<sc>bstract</sc> We employ semiclassical quantization to calculate spectrum of quantum KdV charges in the limit of large central chargec. Classically, KdV chargesQ2n−1generate completely integrable dynamics on the co-adjoint orbit of the Virasoro algebra. They can be expressed in terms of action variablesIk, e.g. as a power series expansion. Quantum-mechanically this series becomes the expansion in 1/c, while action variables become integer-valued quantum numbersni. Crucially, classical expression, which is homogeneous inIk, acquires quantum corrections that include terms of subleading powers innk. At first two non-trivial orders in 1/cexpansion these “quantum” terms can be fixed from the analytic form ofQ2n−1acting on the primary states. In this way we find explicit expression for the spectrum ofQ2n−1up to first three orders in 1/cexpansion. We apply this result to study thermal expectation values ofQ2n−1and free energy of the KdV Generalized Gibbs Ensemble.
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Real-time chiral dynamics at finite temperature from quantum simulation
A<sc>bstract</sc> In this study, we explore the real-time dynamics of the chiral magnetic effect (CME) at a finite temperature in the (1+1)-dimensional QED, the massive Schwinger model. By introducing a chiral chemical potentialμ5through a quench process, we drive the system out of equilibrium and analyze the induced vector currents and their evolution over time. The Hamiltonian is modified to include the time-dependent chiral chemical potential, thus allowing the investigation of the CME within a quantum computing framework. We employ the quantum imaginary time evolution (QITE) algorithm to study the thermal states, and utilize the Suzuki-Trotter decomposition for the real-time evolution. This study provides insights into the quantum simulation capabilities for modeling the CME and offers a pathway for studying chiral dynamics in low-dimensional quantum field theories.
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- Award ID(s):
- 1945471
- PAR ID:
- 10632244
- Publisher / Repository:
- Springer
- Date Published:
- Journal Name:
- Journal of High Energy Physics
- Volume:
- 2024
- Issue:
- 10
- ISSN:
- 1029-8479
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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