Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Bhattacharya, Aranya"'
Quantum complexity has emerged as a central concept in diverse areas of physics, ranging from quantum computing to the theory of black holes. We perform a systematic study of complexity in random quantum circuits with and without measurements. We obs
Externí odkaz:
http://arxiv.org/abs/2409.03656
Autor:
Bhattacharya, Aranya, Jana, Aneek
We introduce Krylov spread complexity in the context of black hole scattering by studying highly excited string states (HESS). Krylov complexity characterizes chaos by quantifying the spread of a state or operator under a known Hamiltonian. In contra
Externí odkaz:
http://arxiv.org/abs/2408.11096
We present a framework for investigating wave function spreading in $\mathcal{PT}$-symmetric quantum systems using spread complexity and spread entropy. We consider a tight-binding chain with complex on-site potentials at the boundary sites. In the $
Externí odkaz:
http://arxiv.org/abs/2406.03524
Publikováno v:
Phys. Rev. D 109, L121902 (2024)
Recently, the propagation of information through quantum many-body systems, developed to study quantum chaos, have found many application from black holes to disordered spin systems. Among other quantitative tools, Krylov complexity has been explored
Externí odkaz:
http://arxiv.org/abs/2403.03584
Publikováno v:
Phys. Rev. D 109, 066010 (2024)
Building upon recent research in spin systems with non-local interactions, this study investigates operator growth using the Krylov complexity in different non-local versions of the Ising model. We find that the non-locality results in a faster scram
Externí odkaz:
http://arxiv.org/abs/2312.11677
Publikováno v:
JHEP03(2024)179
Using spread complexity and spread entropy, we study non-unitary quantum dynamics. For non-hermitian Hamiltonians, we extend the bi-Lanczos construction for the Krylov basis to the Schr\"odinger picture. Moreover, we implement an algorithm adapted to
Externí odkaz:
http://arxiv.org/abs/2312.11635
Publikováno v:
Phys. Rev. A 109, 022223 (2024)
We compute the complexity for the mixed state density operator derived from a one-dimensional discrete-time quantum walk (DTQW). The complexity is computed using a two-qubit quantum circuit obtained from canonically purifying the mixed state. We demo
Externí odkaz:
http://arxiv.org/abs/2307.13450
Publikováno v:
JHEP07(2023)060
Recently, it has been argued in [1] that Jackiw-Teitelboim (JT) gravity can be naturally realized in the Karch-Randall braneworld in $(2+1)$ dimensions. Using the `complexity=volume' proposal, we studied this model and computed the holographic comple
Externí odkaz:
http://arxiv.org/abs/2304.09909
Publikováno v:
JHEP 12 (2023) 066
Continuing the previous initiatives arXiv: 2207.05347 and arXiv: 2212.06180, we pursue the exploration of operator growth and Krylov complexity in dissipative open quantum systems. In this paper, we resort to the bi-Lanczos algorithm generating two b
Externí odkaz:
http://arxiv.org/abs/2303.04175
Publikováno v:
Phys.Rev.D 106 (2022) 8, 086010
We compute the pseudo complexity of purification corresponding to the reduced transition matrices for free scalar field theories with an arbitrary dynamical exponent. We plot the behaviour of complexity with various parameters of the theory under stu
Externí odkaz:
http://arxiv.org/abs/2209.00049