Analogue Quantum Simulation: A New Instrument for Scientific Understanding

Preface
Contents
1 Introduction: A New Instrument of Science?
	References
2 Distinctions with a Difference
	2.1 Analogue and Analog
	2.2 Analog and Digital Computational Models
	2.3 Reprogrammable and Bespoke Simulators
	2.4 Classical and Quantum Simulators
	2.5 Source and Target Phenomena
	2.6 System and Simulation Models
	2.7 Analogue Quantum Computation and Emulation
	References
3 Cold Atom Computation: From Many-Body Localisation to the Higgs Mode
	3.1 Science Summary
	3.2 Bose-Hubbard Physics in Optical Lattices
	3.3 Many-Body Localisation
		3.3.1 Many-Body Localisation in One and Two Dimensions
		3.3.2 MBL in Optical Lattices
		3.3.3 Experimental Findings
	3.4 The Higgs Mode in Two Dimensions
		3.4.1 Broken Symmetries in O(2)-symmetric Field Theory
		3.4.2 The Higgs Mode in the Superfluid–Mott Insulator (SF-MI) Transition
		3.4.3 Experimental Findings
	3.5 Philosophical Schema
	References
4 Photonic Emulation and Quantum Biology
	4.1 What Is Quantum Biology?
	4.2 Science Summary
	4.3 Environment Assisted Quantum Transport
	4.4 Photonic Quantum Emulators
	4.5 Philosophical Schema
	References
5 Emulation of Hawking Radiation in Dispersive Optical Media
	5.1 Science Summary
	5.2 Hawking Radiation in Continuum Hydrodynamics
		5.2.1 What Is Astrophysical Hawking Radiation?
		5.2.2 What Is Acoustic Hawking Radiation?
	5.3 Optical Black Holes
		5.3.1 Moving Horizons
		5.3.2 Fibre Optic Spacetimes
	5.4 Heuristics for the Theoretical Analysis of Hawking Radiation from Analogue Systems
	5.5 Experimental Realisation of Optical Hawking Type Phenomena
	5.6 Philosophical Schema
	References
6 Understanding via Analogue Quantum Simulation
	6.1 Understanding Understanding
	6.2 The Simple View of Understanding
	6.3 The Explanation Condition
		6.3.1 Explanation via Analogue Quantum Computation
		6.3.2 Explanation via Analogue Quantum Emulation
	6.4 The Grasping Condition
	6.5 The Veridicality Condition: The Modified Simple View
	References
7 Understanding via Analogue Quantum Simulation in Practice
	7.1 Understanding via Analogue Quantum Emulation
		7.1.1 Explanation and Emulation
		7.1.2 Emulation and Veridicality
		7.1.3 Emulation and Grasping
	7.2 Understanding via Analogue Quantum Computation
		7.2.1 Explanation by Computation
		7.2.2 Computation and Veridicality
		7.2.3 Computation and Grasping
	References
8 Norms for Validation and Understanding
	8.1 Validation and Veridicality
	8.2 Internal Validation in Classical and Quantum Computation
	8.3 Internally Validating an Analogue Quantum Simulator
		8.3.1 Direct Certification of the Source Simulation Model
		8.3.2 Indirect Certification of the Source Simulation Model
		8.3.3 Internally Validating Quantum Emulators
	8.4 Externally Validating an Analogue Quantum Simulator
	8.5 Norms for Validating Analogue Quantum Simulators
	8.6 Norms for Understanding
		8.6.1 Explanation, Manipulation, and Observation
		8.6.2 Mental-Model Grasping by Observing and Manipulating
	References
9 Methodological Mapping
	9.1 Using Computers to Understand Formal Properties of a Target Model
	9.2 Understanding Physical Target Phenomena in Science
	9.3 Methodological Map for Analogue Quantum Simulation
	References
10 Closing Remarks
	References
Index